You might want to read the Double Degree Dilemma essay in the Read Me thread on this music major forum. It it about different ways to study music.
A BA in music quite often does not involve auditions for admission, though there would probably be auditions in the fall on campus for college ensembles.
You can submit a music supplement with a recording or video if you feel your piano is good enough. Ask the colleges what they accept.
A BA iin music s usually 1/4-1/3 classes in music. Your other classes may be required gen eds plus electives or, at a few colleges, freer curricula with liberal arts, science/math.
You can major in music (music history, theory, music history, ethnomusicology, music technology, composition) with some performance component, lessons, and extracurricular performance. In fact, you can major in something else and still do lessons in many schools, participate in extracurricular music and take music electives.
There are many schools with excellent BA’s and excellent extracurricular music. In some cases you would want to avoid schools that have BM programs where the best resources, teachers and opportunities go to the BM students.
Most BM programs do have auditions for admission. BM programs are generally 2/3-3/4 classes in music so it is more immersive. BM programs can be at freestanding conservatories or conservatories/schools of music on the campus of colleges and universities.
You can certainly look into production which tends toward either studio/technical or creative/compositional. The terminology varies a lot from campus to campus so make sure to read the details.
ps check out Oberlin’s Musical Studies program for one school that has both BM and BA and is very inclusive for BA students. There are others…