Burke is a smart and sneaky SoB, him paying for a semester of tuition with his own money for however many girls is not a crime, if tagged as a donation it would even have federal anonymity protection for the identity of the one who donated.
Only way he ever gets made is if more than 1 girl comes forward ( just 1 would be word vs word ) , but that would come at a high price for the girls: #1 they would have to admit to prostitution, #2 they would get expelled, #3 it would go onto their record and may make employment much more difficult and the obvious one, since it would be public, all their family members and friends would find out what they did.
So i doubt that he embezzles money or is in any way involved in drugs or the 'restaurant' buisness, he is way to smart. Imo he is just a filthy rich guy, who uses his money to get college girl pussy ... and if I may say so : god bless him