I may be biased since I was a math major in university. However it has occurred to me that there is something that finance, AI, and economics, particularly quantitative economics (econometrics) have in common. That something is of course that they all use a fair amount of applied mathematics. Just something to think about.
The most expensive universities in the US currently cost about $95,000 per year. If you just finished your junior year and will be a high school senior in the fall, then by the time that you get to university there will probably be schools that cost just about $100,000 per year. This of course increases each year.
Are you and your parents okay with spending $400,000 for your bachelor’s degree without taking on debt? If so, then you can ignore costs. If not, then you might want to pay some attention to what universities cost. Outside scholarships rarely make much of a dent in the cost of university in the USA.
Also, some of your potential majors are ones where some form of graduate degree, very likely a master’s degree, may be useful. This suggests that you might want to save some of your college $$ for a graduate program.
You have a very long list of reaches, as well as a long list of “likely’s” that are perhaps slightly lower reaches. It will be difficult to do a good job of putting together the applications for this many universities. For example, each application will require essays. I do not see how anyone could write this many essays and do a good job on all of them.
For any particularly school, if you can intelligently and thoughtfully explain “why is this school a good fit for you” then I think that this is likely to come across in your essays. This could in turn improve your chances for admissions. Also, if you spend time researching universities and figuring out which schools are a good fit for you, this is likely to increase your chances of ending up at a university that actually is a good fit for you.
This might be a long way to explain a recommendation that I have. I think that you should do quite a bit of research and figure out which of these universities will be a good fit for you, and why. One thing to look at is what majors they offer that are interesting to you. Look at what courses are required to graduate, including both major specific requirements and general requirements. Think about whether you want a large school or a small school, and whether you want to be in a big city or a smaller city or somewhere else (Stanford for example is more suburban). Do you care about whether you are on the semester system or the quarter system? UCLA will have very mild “winters” (or no winter at all from the perspective of someone who lives in the north, as I do). UIUC and U.Michigan will have very cold winters. Harvard is on the east coast in an attractive part of an interesting city with a lot going on right near campus, but with real winters (although not all that cold by UIUC standards). Some of these schools have relatively well defined campuses. Some are sort of located in the middle of a city.
Once you start to figure out which of these schools are a good fit for you, it should be possible to trim the list somewhat. I would try to at least cut the list in half.