I think if he’s applying to any school via QB it will be a full ride - hence if he’s truly WB eligible, he needs to use all spots as he might not be able to afford college otherwise.
He noted Cornell QB. I don’t know if it’s auto merit or competitive but qualification wise OP can get one at Prairie View. He should check if it’s assured.
Whether they want the school or not, when you have a limited budget, you often don’t get to choose.