@PikachuRocks15 , Reed was already on OP’s list in the original post. Excellent school, but vastly different in culture/vibe from, say, Colgate. Fantastic place for the right applicant, but important to perceive “fit.”
@aquapt Oops! Did not notice that 
I definitely agree that fit is important, especially if, like me, you’ll be heading out of state for college. You’ll be spending the next four years of your life at this school, so make sure that you’re selecting it not because of its “brand name” but because the school offers strong programs in your interests, the curriculum would give you the freedom to explore these interests etc. 
Students can especially see the differences between colleges even in the same region among the Ivies, because while they all have amazing academics, a student who is interested in living in Ithaca or Hanover wouldn’t enjoy life in Philadelphia or NYC, and vice-versa. Make sure that you’ve actually considered the surrounding location of your college, unless you plan to spend all your time on-campus lol (don’t do this, get involved w/ your school and greater community,) and if a family support network is extremely important to you, it might be beneficial to live in a city close by to family or large enough that it’s easy to get home from.
That really doesn’t describe the Core at UChicago. Trying to double major and satisfy the Core at UChicago leaves very little room for options.
You don’t need more reach schools, however, I would suggest looking at Hamilton College which has an open curriculum and excellent Classics and Economics.
College Transitions offers a “Best Colleges for Classics” list:
Amherst College
Barnard College
Brandeis University
Brown University
Bryn Mawr College
Carleton College
College of the Holy Cross
College of William and Mary
Cornell University
Columbia University
Davidson College
Georgetown University
Hamilton College
Harvard University
Johns Hopkins University
Kenyon College
Macalester College
Oberlin College
Ohio State University
Princeton University
Stanford University
Tufts University
University of Chicago
University of North Carolina at Chapel Hill
University of Pennsylvania
University of Wisconsin – Madison
Yale University
These resources will help you sort through the economics programs of potential choices:
https://ideas.repec.org/top/top.uslacecon.html
https://ideas.repec.org/top/top.usecondept.html
Schools with notably flexible curricula include Amherst, Hamilton, Brown, Grinnell and Smith.
Your education would also be free at UChicago as long as you stay below that $60k threshold, including room, board, and books. First gen also helps with admission as well as ED if you take it.
If you write a great essay and get great LORs, I could be worth trying. Great in Econ, not sure about “Classics,” but their system relies heavy on a classical education.
@BrianBoiler Even if you don’t apply Early Decision, be sure to apply Early Action, as UChicago LOVES their early round applicants more than RD because they’re more likely to have shown deep interest in the school rather than just applying b/c of its name. Of the three students accepted from my school last year, one was admitted EA last year and the other two ED 1 and 2 respectively.
Also, applying non-restrictive Early Action to any school that offers it is a must in most cases (as long as your application is prepared by then,) as a smaller application pool than RD coupled with increased interest increases chances of admission than applying RD. Also, applying EA usually qualifies you for full-tuition or the top-level merit scholarship consideration at schools that offer it, which can increase your merit scholarship award.
Actually, if you want a truly open curriculum, then you should probably go to a school that actually has one {Oberlin, Tufts), not a school that falsely advertises their “flexible” curriculum as being “open”. 
@Mastadon IMO I don’t exactly see how Tufts’ distribution requirements (https://admissions.tufts.edu/discover-tufts/academics/school-of-arts-sciences/curriculum/ ) is more “open” than Brown’s Open Curriculum w/ virtually no requirements but 2 writing-related courses in a ton of fields (if you wanted to take 30 biology classes, you could do that and graduate,) but everyone’s entitled to their own opinion. At the end of the day, this is more about offering possible college choices to the OP, not debating on which college is better or worse curriculum or otherwise. 
@MovinFwD Congratulations on your stellar record of achievement, which is very impressive, especially in such a broad range of academic areas. Schools like Williams and Amherst in particular like to see well rounded candidates such as yourself. With respect to econ, U Chicago and Williams would stand out on your list. Surveys of published papers and faculty affiliated with leading econ research groups such as NBER suggest that the econ departments at Williams and U Chicago stand out. Classics are strong at both school as well. Then the choice would be betweena larger research institution vs smaller liberal arts college, the 7 to 1 student to teacher faculty ratio at Williams is hard to beat. Chicago is also know to be hyper competitive while Williams is more collegial and supportive. Williams is also more connected to Wall Street and investment banking.
I’m not sure a more correct statement is UChicago used to be known as hyper competitive. My son is a rising 3rd year in Econ and Philosophy and doesn’t really find it competitive, nor has he really experienced the “impossible” amounts of work. Is he studying hard, you bet, but he says it is very doable and he is maintaining a 3.9ish GPA.
Another UChicago parent here. Agree with what @BrianBoiler says.
UChicago is a school for serious students, but for smart students with that attitude the work is eminently doable. My child is also pulling a 3.9 as well and she still has time for activities. She doesn’t find it competitive at all, but rather the push to work hard comes from students themselves.
@PicachuRocks15
I forgot to get back to you on the notion of a true open curriculum…
It is hard to see the difference in “openness” when one is looking in the wrong place…
If one looks at the history of curriculum reform, one will see that during the 1960’s there was a whole movement around a concept called the “experimental college”. If one looks at the history of Brown’s curriculum, one will see that in the late 1960’s Brown ruled out the concept of an “experimental college” in favor of what they called their “new curriculum” (which was later renamed the “Brown Curriculum” and then later renamed the “Open Curriculum”). Over the years, most experimental college programs have been discontinued, but two have survived - one at Tufts and one at Oberlin.
My contention is that the experimental colleges implemented at both Tufts and Oberlin are more faithful to the concept of an “open curriculum” than Brown’s chioce for curriculum reform (i.e. their “new curriculum”).
Here is my reasoning:
If we look up the definition of “curriculum” we get:
https://www.merriam-webster.com/dictionary/curriculum
if we look up the definition of “open” we get:
https://www.merriam-webster.com/dictionary/open
Tufts’ Experimental College, (which functions like another academic department) sponsors non-traditional courses developed by members of the Tufts community (students, administrators and professors) as well as by people outside the Tufts community (typically from other local universities and businesses). Given the the number of local colleges and businesses in the Greater Boston Area, this offers a rich pool of talent for course development.
So, with the addition of the Experimental College, Tufts has, in effect, “opened up the curriculum” by eliminating the traditional barrier that limits the courses offered to students to only those that are developed and approved by the college’s faculty.
Brown’s course offerings are restricted by this traditional barrier and therefore its curriculum is not “open”. Eliminating distribution requirements allows more flexibility within this “closed” environment, but it does not eliminate the barrier. If you go back and read the original 1960’s proposal for curriculum reform at Brown (it is about 300 pages), “openness” was not an objective, but flexibility was.
“Looking for an open curriculum ideally as I want to pursue a major in Economics and Classics”
This should without a doubt point you to Brown and Amherst as your top choices. And the list merc81 provided confirms these are excellent for classics.
“so pulling a 3.9 as well and she still has time for activities. She doesn’t find it competitive at”
I know a parent of a Chicago grad and the president at graduation ceremony was proud that they didn’t have fluffy grading standards of their peers (Harvard was implied). There is no way everyone at Chicago is getting a 3.9, for every 3.9, there’s a 2.9, let’s put it that way. Chicago is a great school and for sure should be considered for econ/classics, but the curriculum is not open and not everybody gets 3.9s.
Since you don’t have a clear first choice, don’t ED anywhere. good luck!
Also, as mentioned previously, do look at the econ department at Williams, they have some very interesting profs, research and course offerings.