TIMARA is a different kind of program, as is Brown’s MEME.
The differences in terminology for music production, studio production, audio technology etc etc. are daunting and when you add in singing and songwriting teh search is even harder. The usual Frost, USC, Berklee are most often mentioned, plus Columbia College Chicago, Loyola NO for the combo you are seeking.
It seems you have already done an excellent job compiling a list and just need to add Frost and Berklee 