Here is an example of a BS in Aeronautics type degree plan (Arizona State; disclosure: I'm an MBA grad from ASU):
https://webapp4.asu.edu/programs/t5/...nopassive=true
Professional Flight, B.S. | Aviation
Want to do it at a two year? Cool, here's an example degree plan (Texas State Tech in Waco):
Texas State Technical College | Programs | Aircraft Pilot Training
The common theme is that every required course listed on those plans is payable as tuition and fees by the VA, and they're both public schools.