Do your research…some schools have their big med school hospital in the middle of campus (e.g. Vanderbilt). Others have it nearby. And others have it hours away ( Cornell).
Notre Dame has the architecture & house system you like, but with a very different vibe. Alas, no med school attached to it.
Duke has the gothic architecture & a big medical center nearby.
Michigan has all sorts of architecture, honors housing , and a humongous medical complex nearby.
U of Rochester has a serious vibe to it & a
Hospital adjacent.
Georgetown has some of the features you want.