Although the name of the school you attend is not of zero importance, most colleges will offer you the resources and opportunities you need to develop a competitive med school app. Whether you have a competitive app will be more based on your efforts, less on the school attended.
Med school is outrageously expensive and is typically paid for by loans that you will need to pay back. Going to a college where one can graduate with as little debt, if any, is a very important consideration for any would be premed. Most often state supported schools are the best option for cost. You’re in a state with arguably the best public university system in the country (eg UCs), why are you looking at these east coast schools. Although UCs are crazy competitive for premeds, the schools you list will easily be just as competitive premed wise. Even if you go to a UC, does grandpa know he could be writing checks for $30+ each and every year you’re in college. Or besides COA, is grandpa also willing to pay additional costs of traveling back and forth from east coast schools (eg holidays).
You can major in anything (eg STEM, art history, foreign language, etc). Other than I want to be a doctor, what interests
you. (I do not need an answer).
Be highly skeptical of any college’s published acceptance rates as to getting their students into med school as those numbers are easily manipulated. I would just ignore such numbers.
Consider colleges where you think you’ll fit in as if you’re happy you’re more likely to do well academically which will, in part, be a big concern to med schools. There will be many such colleges closer than the east coast. Although research experience appears often on med school apps, research is not a must or a big deal, especially if your research experience is a couple of years of cleaning glassware for grad students.
I don’t need an answer, but why as a 16/17 year old have you set your mind on an MD career. There are other medical field careers besides an MD. As an MD hopeful, understand that you are looking at 4 years of college, 4 years of med school, 3-5 years of residency, perhaps several years of fellowship depending on your interests. You could be in your mid 30s by time you are able to practice in the area of med you have chosen.
Also understand that most premeds who show up on campus day one, change their minds and career paths. Of those that apply, 60% fail to get even one acceptance anywhere.
I’d give more thought to why an MD, exploring college choices closer to home, and most importantly enjoy your remaining time in hs.