The University of Rochester does have scholarships if your stats are good. Whether they will be high enough is the question.
They also have a more open curriculum with just one writing requirement and two “subject area” requirements that are easy to meet - esp with a double major. Double majoring in general is very common at the school. There are also a lot of musically inclined people at the school with several performance, dance, vocal, or similar clubs, both competitive and just for fun.