Vanderbilt would be a good addition to your list. You recommend looking into USC (University of Southern California.) I’ve heard it’s possible to get a double degree there, but unsure how supportive they are - might be easier to just minor in music. Rice, on the other hand, is definitely not supportive of double degrees. No idea about CCM/UC - I never hear it mentioned for double degrees. Not sure about CMU either - I believe they may have a special science degree with a minor in music? Juilliard/Columbia is a BA/MM. Same for Harvard/NEC. In other words you get a BA in the academic subject - mostly in three years, and then finish at Juilliard or NEC for an MM.
You might consider a double major rather than a double degree which would open up more schools - like Emory in Georgia, or any of the liberal arts colleges in warmer climes like the Claremont Colleges.
You have read through the Johns Hopkins piece about double degrees vs. double majors, yes?