I second Case Western. Back when I was applying to schools (high school class of 2014), I received a full tuition music scholarship at Case, and would have double majored in music and either math or CS.
I ended up at University of Richmond, where I’m a senior math and CS double major, music and dance double minor (only a few courses short of the music major, but didn’t want to take them), on a full tuition music scholarship. While Case’s science and music programs are stronger and more well known, UR has more flexible programs and most students double major and/or minor. At Case, I would have had to choose between math and CS and would have had to most likely do the BA in order to fit everything in; at Richmond, though, I’m receiving a BS. Richmond is also known for its financial aid, meeting 100% of demonstrated need. I actually also know students here who are premeds and double majors, some with a performing arts major.
What state are you from? Some in-state schools may be an option as well. I’m from Virginia and I also applied to George Mason and William and Mary.