James Madison is an auditioned BA program that allows for minors and even double majors. Most with double majors may take an extra semester or year, but if a student comes in with AP, IB, Dual Enrollment credit and/ or tests out of most of the foreign language requirement it could be possible to complete a double major within four years. A minor is certainly possible.
The program at JMU is an auditioned BA with tracks in Performance, Design and Technology, Theatre Studies, and Theatre Education. There is also an auditioned BA Musical Theatre program. It is a professionally focused BA program with strong training and performance opportunities. PM or email me if you have questions.
I believe VCU is a BFA program that would allow for a minor... possible a double major.
I am a Syracuse Drama alum... all students start in the BFA track. Unless something has changed significantly students can switch to the BS track as Juniors and a minor is easily obtained. I believe a student entering with AP credits for gen eds could also obtain a minor relatively easily within the BFA program.
This is a terrific question to ask of all of the schools on your child's list to see the options.