Your concerns are on target and your questions good. Yes, health trumps school. That is overwhelmingly the most important thing. Going to a “good” college and graduating in four years can feel really, really important. In the long run, though, managing a student’s’ medical needs are truly critical.
Many students deal with mental health issues today, and schools are necessarily ramping up mental health counseling capacity. I know my alma matter has about 30-40% more students than when I attended, and students visit the health center for counseling 10x to 20x times as often.
I don’t know much about schools with particularly strong mental health counseling. In general, I’d recommend smaller schools without reputations as being academically competitive or party schools. Alcohol is very prevalent at most schools, and unfortunately it is not helpful for students with mental health issues. But at some schools it is a much more central part of social life than others.
I’d also suggest a school that you could reach by car in a day, if you think a crisis is a real possibility, or just that being available might be helpful.
If you are in the DC area, I’d think about looking at Dickinson College, St. Mary’s (in MD), Muhlenberg College, Susquehanna University. What about a women’s college? I think they might make it a little easier to find a supportive environment. Smith and Mount Holyoke are excellent schools and members of the Five College Consortium (with Amherst, Hampshire, and U Mass Amherst). Students can take some classes and take advantage of other opportunities at the member schools. Maybe also Wellesley, which has a stunning campus and is also a great school. These schools are farther away, but you can get there in a day.
https://www.fivecolleges.edu
Also, if you and your daughter feel like farther is okay, maybe look at Sewanee. Also great academics, but I’m really thinking that just being in nature is great for people in general, including people with mental health concerns, and it is on top of a mountain, with nature all around. It’s beautiful and has outstanding academics.
http://www.sewanee.edu/student-life/university-wellness-center/
http://admission.sewanee.edu
Truly, these schools will give a student the same quality academics as anywhere. I just suggest them as possibilities, and maybe you can explore mental health services at any that feel like they might be good fits, to both of you. Good luck, enjoy the college selection process, feel like it’s about fit and a positive environment, and it all will be a much more pleasant endeavor!