Check to see if your State of residence as a Dance Studio Act. If so, it may have provisions in it that could help you. For instance, in my state of residence, dance studios and dance instructors who sell more than $X worth of lessons in advance are required to post a bond with the State - to protect students in the event that a studio/instructor closes shop and doesn't return the money it holds in unused lessons. And if a studio/instructor fails to post the bond with the state, and doesn't return money it owes - well, it could lead to some serious consequences for that studio/instructor.
Each state is different - maybe yours has an Act like that, maybe not. But it might be worth your while to check.