For the fans, I think the loss in the record books and loss of a home game would be enough. I don't think the "fans" are the real issue.
Do the whole, loss of a home game, but in addition to, make it where every student "caught" will be expelled immediately. Explaining to momma and daddy why their money for that entire semester was just lit on fire and shoved up a hog's ass, might make them think. This can be an addendum to the student code of conduct that all students agree to. Kind of like the "I agree" tab we all hit anytime we download crap to our phone.