You don’t want to major in music, so you won’t apply to conservatories or music schools (including Thornton, above). It is mainly BM programs at those schools that have auditions and, often, prescreens.
Colleges with BA programs in music, minors in music, or opportunities in music without majoring or minoring in it at all, will usually not have any auditions for admission. Applicants can sometimes submit an arts supplement for music with the Common App. Once on campus, there will most likely be auditions in order to join orchestra, glee club, ensembles and other organizations for music performance.
Again, the real thing to check out is whether opportunities for music activities are more limited for BA students, whether majoring in music or not, at a school that also has a BM program in a conservatory or music school.