Roxann,
I tend to be a facts & figures kinda person and approach most problems in a clinical and sterile way. You’ve come onto an anonymous like forum to ask for input, and so I’ll assume you want honest responses. Also recognizing you are a junior - to shortly become a rising senior(?) with college applications starting in 4+ months, so you are not really just a child nor yet a ‘fully formed adult’. We should all keep these things in mind in our responses.
There are a few things you’ll need to come to terms with yourself - and you don’t have to share them with the internet but you do need to perform a ‘self check’ here.
(1) You need to define what Prestigious really means to you. For some people thats IVY or IVY PLUS, for some thats T20 (top 20 ranking on common ranking lists) or T50 etc etc. For others it may be what are the best known ‘names’ in their state or region -or as you mention HBCUs - it may be ethno-culturally prestigious programs.
(2) You also speak to the quality of the dorms and buildings and the beauty of campus as a primary driver (or Hogwarts like). While not totally incongruous, you may find that a lot of the schools that others might define as “Prestigious” are ‘old’ campuses with varying levels of facility decline and rebuild / rebirth going on, or campuses which are not known for their aesthetics but rather for their educational merits (or purportedly so). There are lots of ‘beautiful’ campuses, but beauty is subjective and only you can determine what is beautiful to you. I would encourage you to really think about the choice to put the aesthetics of your environment -ahead- of the education and reputation of the school / program you are interested in as you will likely only be spending 4-5 years of your young life there, but will carry those credentials for the rest of your life. It’s a short term / long term tradeoff.
(3) Your ‘Stats’ (GPA / WGPA, Class Rank, SAT scores and course rigor, especially in advanced math / stem) don’t align with the 25-75% range of admitted students in the Ivies, T20 or T50 (I’m using US News as the ranking metric here). As an example you specifically mentioned SMU - US News ranked them around 90th in -overall- academics - their admitted student profile has their median GPA around a 3.7 with the 25-75% around a 3.5-3.9… but… their SAT median at 1370 and 25-75% SAT 1320-1480.
If you are entering your Senior year, you really don’t have much road left (or none at all) to improve your grades or your class rank (not in the top 20%) - some schools, if they haven’t already decided on admit/decline by late December, will ask for updated semester grades and class ranks after the fall).
You may be able to improve your ‘course rigor’ a little as reported on the classes you are going to take or are taking at the time of application - but those grades won’t be available to the schools during fall application.
You may want to consider either looking at schools where your SAT scores are well in the 25-75% or where test scores are still considered optional or schools which are test blind (they don’t want them) though more schools have gone back to test report mandatory each of the last 2 years. Alternatively, you should really consider spending the time and money to invest in yourself this summer through solid SAT (and/or ACT) test prep courses and guidance. It’s -possible- to make a big jump in your SAT score before applications are due.
(4) Your extracurricular achievements are good stuff and show commitment and a broad set of interests and pursuits. Unfortunately, what we see/hear from students (and the parents of those students) applying to and accepted to the ‘prestigious’ schools of the IVY, IVY+, Public IVY, T 20s and even into T50s is that the more competitive students -all- have extracurriculars which are ‘good stuff’ and quite a few have a pretty strong ‘hook’ in their extracurricular such as a State or National championship or other state/national awards or recognition.
(5) Comp Sci and Business as areas of study should help yu to further evaluate your own choices. For ‘prestigious’ schools in Comp Sci, your current Stats are not competitive for schools ranked in the T20. Those programs lower end GPAs tend to be 3.8+ with a lot of Math/Science rigor and lower end SATs 1400+. That’s a rather large gap from where you are currently. If you look a T20 ranked undergraduate Business Schools, you will also find their admitted student profiles are rather competitive. Outside of the T20 rankings, especially in the over rankings over 50 are going to be progressively lower in rigor.
(6) There are many schools where your “First Generation” status will receive favorable consideration. Your self-reported bi-racial makeup shouldn’t directly be a considered factor - based on relatively recent SCOTUS case decisions as well as the current national government administration climate - however, some schools specifically cite personal essays which speak to challenges you may have faced (as a result of your bi-racial background) and overcome are considered as important as challenges other applicants may have overcome which are not race-based. So both of these factors may be helpful to your application.
I do think you need to ask yourself and try to be internally honest about your own assessment here - are your GPA, course rigor and SAT scores reflective of your true academic capacity. Or is there some solid reason you feel your true performance ability is that of a 3.8++ GPA // STEM Overachiever // 1400+ SAT.
I ask this because while it may be possible for your extracurriculars, your first generation status, possibly your bi-racial background and your personal story via essays may find you a spot in the truly competitive or highly prestigious Comp Sci or Business programs, your performance stats should show you whom you are really going to be ‘competing with’ in those programs… and STEM programs are notoriously going to be more Math and Analyticalally rigorous and unforgiving than anything you’ve experienced thus far in hiugh school, while Business can certainly be math and analytically focused, there’s often more ‘soft skill’ and wiggle room between different area focuses such as marketing or human resources versus finance and accounting.
You really don’t want to set yourself up to fail by being so far behind your fellow classmates in their math and analytical skills, that you spend your first year underwater and can’t recover.
-IF- I look at just the facts/stats for your academic profile…
You are non-competitive at Rice (General admission data… individual programs are harder to assess), UT Austin (General, Comp Sci or Business) or Georgetown (General Admission data… individual programs are harder to assess). For SMU, your GPA is likely with the 25-75% range, however lower end, but the current SAT score isn’t competitive.
My opinion, and I don’t know -you- from anything moret han what you’ve posted here, is based on the sterile information provided, you should really spend more time looking at “FIT” of the school rather than their prestige. And by FIT, I mean schools where your academic track record are comparable to the other students attending - so GPA and SAT are comfortably in that 25-75%, and where there campus culture aligns with your personal beliefs (be that religious, ethnic/racial, political, environmental etc), and then with that grouping you can look at the asthetics of the campus and the costs. You need to be able to be academically in range, so that you don’t spend your entire college experience really struggling just to stay in school (either by having to study 8 hours a day 7 days a week just to get Cs in required courses which are often ‘weedouts’ for competitive majors) or are miserable because you choose the ‘look’ of the school but find the atmosphere of the students and faculty to be vastly different than your own personal value system. Given that, I think you are looking outside of the T50, may have a few reach to achievable in the T100s, and should spend sometime investigating programs outside of the T100 (using US news as the ranking metric here)… unless you really were somehow hamstrung in your 3.6 GPA to this point and can blow out a 1300+ or 1400+ on another attempt at the SAT. At which point I would re=evaluate schools in your academic zone, and still then look for FIT for your personal comfort.