I went to a near ivy (lol) and I guess I could tell you that, from what I've seen, the people w/ eating disorders who actually graduate do so by sacrificing parts of their social/academic/eating disordered lives. If you end up spending a chunk of your time thinking about food, those grades will be a bit lower. Or if you want to get an A on an exam while keeping up a demanding exercise schedule, you'll begin to isolate and feel estranged in a new place.
I really don't want to sound discouraging and annoying and I do realize I'm on MPA right now, but I have to say this because I wish someone said it to me: Being able to attend an Ivy League school is incredibly, incredibly cool. Go. Seek help and support for your eating disorder and work your ass off in every possible way...learn as much as you can (including how to love yourself, no matter how long it takes), seriously fill yourself up with new information and absorb your new surroundings and meet the people you have always wanted to meet and you will begin to grow into this sort of amazing person without even realizing it.
Listen I know that's way easier said than done and it's also cheesy af, but I've seen so many people get into this mindset where they think they will be the one person who can pull off the great grades and have a useful college experience while still pleasing their eating disorder, and somehow this will add up to their ideal version of themselves. This does not happen.