I presume you've already chosen and started, and I hope are enjoying, college, but I just saw this and want to add my opinion for anyone else who may stumble across it. Congratulations on what I'm sure are wonderful accomplishments thus far.
I would not choose an undergraduate largely based on programs like Rabi scholars or YES. (1) in terms of costs, these are small offers compared to potential differences in need-based financial aid (remember to compete offers!!), and if you don't have any need-based aid, they are a drop in that massive bucket. If you have full aid at all schools, see next point. (2) in terms of research funding, possibly excluding Columbia as I know least about it, these schools have large amounts of student research funding you can apply for, which may even exceed the funding level of these admissions programs like Rabi. (3) There are many opportunities for meeting faculty, and my experience is that these programs are interesting but not necessarily well-tailored nor do faculty particularly know/care about their apparent prestige among admits. This is not to say that the networking of e.g. Rabi scholars does not matter at all, but rather that it is one component of many. Instead, choose the school where you feel you will be more happy being productive, as this will (a) increase the odds of you being productive, (b) increase your enjoyment, (c) reduce the risk that you will be lost to finance/consulting as many bright students are.
Programs like Rabi scholars are in fact centrally aimed at this goal of increasing the enjoyment of productivity, by reducing stress around applying for funding and by creating a social context for research productivity. They should be viewed in that context. But other factors also contribute to enjoyment; for future readers in a similar position, visit the schools and see where you like. Remember, you really can't go wrong as you can find your community at any of these elite schools. However, the cultures of Columbia, Yale, and Stanford are EXTREMELY different (idk Princeton), and choose where you think you'll thrive. I think there's an issue where new college students (and even older ones now) can be too much looking for someone else to advise them, that you don't ALSO (not instead) spend sufficient effort thinking about what you want and who you want to be. Yale and Columbia and Stanford environments are very different, and you should make a decision based on who you want to be. It goes without saying that coursework as an undergrad will be near-identical, as will the chance to work in top labs if you have experience and the chance to learn to research in either small or factory-like labs if you don't, as will the premedical opportunities. One exception is that one school might have more upper-level highly specialized math seminars in your field and otherwise in your last semester might not have the best possible seminar to take, but at this point that's not something to worry about and will be for very few undergrads (and most schools offer self-directed study if needed).
I should also note that I'm familiar with the deans of a couple of these programs, and they're wonderful people and they do work to make these great programs. The stress reduction from not applying for summer research funding (even if the funding rate is like 90%) is not totally negligible. Just make sure you're considering YES/Rabi in context.
