American University has a good BA Theatre program and offers pre-med degrees. You’d need to talk with them (or any school) about feasibility of double majoring. Adelphi University might be another option.
You also might consider theatre as a minor and then getting involved with student organizations for acting. My D’s former acting teacher majored in Pharmaceutical Studies in undergrad, went immediately into professional acting with a regional company, got an MFA in Educational Theatre at NYU and is now working for the State Arts Council.