Sometimes, if you want to have a good music experience as a non-music major, it can be better to go to a school without a highly prestigious music program, as they largely end up serving and sometimes segregating their own students, leading to a bit of a “second class citizen” situation for the non majors. Aside from that, the larger the school, the larger the student talent pool and the more student musicians available to form orchestras, acapella groups, etc.
As a large Catholic school, Notre Dame should have no shortage of Choir opportunities. Not a bad place for academics, either.
As a future applied math major, is there any reason you’re just taking AP stats next year instead of differential equations and/or discrete math and/or calc-based statistics?