Here are some old threads with lots of good questions. I honestly didn’t re-read them all, but they may have more that you haven’t thought of!
http://talk.collegeconfidential.com/musical-theater-major/1859707-questions-you-wish-you-had-asked-schools.html
http://talk.collegeconfidential.com/musical-theater-major/1624534-questions-to-ask-during-the-campus-visit.html