I remember that at road games, non-scholarship players were not permitted to eat at the furnished team meals. Team would eat at nice places, walkons on the trip ate fast food and paid for their own. There is a lot more to someone being on scholarship than just paying tuition... access to tutors, travel expenses, gear from Nike... I don't think non-scholarship players can receive any of that. It would separate a leader from the rest of the team, and is a bad idea even if his parents would agree to it.