Webster University in St. Louis has a BFA in Wig and Makeup. They accept 2-4 students each year, so probably competitive, but a great program worth exploring. http://www.webster.edu/major/wig-and-makeup-design.html . I know a few students who go there for BFA in acting and one rising Freshman for the Wig and Makeup program (who is THRILLED about it as it was her top choice).
The student I know going to Webster had also only done make up on the side to help in theater productions while in HS, so I think there’s a general understanding HS graduates aren’t going to have a TON of experience in this area like an actor might–it’s more about prospective talent and drive one would presume.