There is nothing that says these guys can't remain at their universities as students, fully funded even.
So you could still do that.
Unfortunately, the constant transfers make it nearly impossible to achieve anything that looks remotely like an education. For normal students, their credits don't transfer en masse, and if the same standard is used, then there's no way for these players to major and graduate. UNLESS you stick them in bogus majors run by someone friendly to the athletic department -- in which case that's not a real education either. I write this as someone whose duties include approving transfer credits toward a major.