You would need to check the requirements for a music minor at each college you are considering. Then you need to see if you can fit in the minor along with the requirements in your major, pre-med requirements, and other graduation requirements that the college may have.
Alternatively, as noted above you can also try to play with an on-campus group, take piano lessons on campus or something along those lines.
Btw, biopsychology (often referred to as physiological psychology or biological psychology) appears in most college curricula as simply a branch of instruction within the psychology department. Even if physiological psychology constitutes your primary interest within this greater field, you could still benefit from psychology departments that include courses with elements from the other major contemporary branches of the field (generally clinical, cognitive, educational, developmental, personality, sensory and social psychology).
Minoring in music can be a natural outcome from simple course selection (often five), typically will not require auditions, and can easily be completed by the first semester of junior year. For example:
http://www.hamilton.edu/academics/departments/Courses-and-Requirements?dept=music
On our tours we thought that Skidmore had one of the best combinations of science and arts. Undergrads can do research in the sciences, their new music building is spectacular, and the students go to far more concerts than sporting events. You might also check out Oberlin – they have strong programs in both, although their music school is a bit competitive.
Definitely check out Case Western. They are extremely well known for their BME program, and are strong in STEM fields in general. They also have a great music program that allows you to take classes at the Cleveland Institute of Music, a top conservatory.
my daughter is a bio major at Skidmore and absolutely loves it there.
^^
Skidmore (as well as Colgate) is one of the 25 colleges listed in http://www.newsweek.com/americas-25-new-elite-ivies-108771
Akabrowny, Colgate’s medical school early assurance program may be of interest.
https://www.colgate.edu/academics/pre-professional-planning/health-sciences
Additionally:
Music:
https://www.colgate.edu/academics/departments-and-programs/music
St. Olaf - triple that recommendation. Very strong sciences / pre med, and very strong music.
Three paths: a Bachelors of Music (difficult to audition into); a regular BA with a Major in Music along with Pre-Med; or full on focus with the Pre-Med, and participate in any of the many musical offerings on campus (dozens - ⅓ of student body is engaged in the music program, in some way. These folks understand that music and math / sciences actually go together.
Olaf offers a great 10 day(?) music camp each summer - great way to get to know the place. They also offer a piano camp.
If pre-med is key, but music is less important, then consider Grinnell - fantastic track record preparing students for graduate schools.
If your scores are great, and you are looking for a larger university setting, consider Wash U in St. Louis - fantastic, very competitive pre-med program – and many students transfer from their undergraduate to graduate programs in medicine. Music is not a strength, but they are large enough to have some great musical groups to join.
Quick way to check out music at any college you are interested in? Just search YouTube for music at that college and you can quickly review the level of their musical program. The differences are often rather stark. You’ll know right away if the musical offerings meet your interest level.
…good luck!