My dd sounds very similar to yours…excels at classical and does enjoy it, but her true heart lies in MT, and she had minimal dance training. So last year my dd applied to many BFA MT program as well as some BM programs like Belmont, Steinhardt, U of Illinois Lyric, FSU, Arizona State, and OKCU. I am sure there are others you can find that weren’t on our list, like James Madison and BW mentioned above.
Of these schools FSU and Steinhardt required pre-screens last year, but I know some previously non pre-screen schools have added them this year, so double check the requirements for each school. I would strongly advise you to get the apps and prescreens in ASAP! Time slots fill incredibly fast!
As far as unifieds, OKCU does not go to unifieds for MT or VP, only on campus auditions. Same situation with FSU. Actually, of the ones I listed above that we applied to I think the only one that did go to Chicago unifieds last year was U of Illinois and they were only there 2 days.
Best of luck!