Take band. College is not all about AP classes but following your passion. Follow your passion and take band.
Thanks so much for the help guys! There actually may be a chance I will not have to take PE next year, in which case I will be able to take band and then either AP Physics C or AP Stats in place of gym. In this case, would stats or physics be better?
AP Stats isn’t particularly useful IMO. I would save AP Physics C for senior year, because it’s very difficult to do both AP Bio and Physics C together.
Perhaps shockingly, I agree with @professorplum168 on both counts. 
AP Physics C is the better course, but the workload is high, so not exactly a trade-off for gym. Save it for senior year. Is there no interesting elective that you can take to scratch an intellectual itch? 3 full-year APs and 2 semester-length APs are plenty rigorous. APs are not the end-all-be-all.
Band for the win!!!
Band!
AP Calc BC and AP Bio can both be challenging and time consuming classes. Also, you already took AP Physics 1, and you said that taking AP Physics C will cause a lot of stress.
You have a rigorous schedule. Take something you really enjoy as your elective: band.