As others have pointed out, there are plenty of ways to do music without majoring in it or dual degree as well. More than a few universities offer music opportunities even though they don’t have performance degrees (the Ivies come to mind, some of the elite LAC’s). It actually might be more difficult in a program that has a conservatory or music school that grants BM’s, some of those schools limit what a non major can do, they might be limited to orchestras or performing groups that aren’t quite that good, or the number of available ensembles, it all depends on the school. Some will let non majors play in the performing groups with BM students if they pass the audition, others won’t.
As you start figuring out what you want to do in college and you start putting a list together of schools you might want to apply to, it never hurts to send them an e-mail and ask them what opportunities non majors have, even if you are thinking of applying dual degree, so you know. If you do decide you want to keep playing music in college, or even might think you may want to get a MM after undergrad, one of the things I have heard is to choose a school where you can have access to good teachers but also a place where you can have access to great performing opportunities like chamber and orchestra. Again, the key is to ask the schools directly what they offer, to see what might work for you.