Under the State of Washington law, the University of Washington can recover a lot more than just what they have paid out under that deal he signed last week. First things first, they could file temporary injunction will keep him from going to another school. Then it would be a straight forward breach of contract case under state law against the player who signed. There would also be an intentional interference with contract claim against his agent. Plus, a potential fraud in the inducement case against both the player & agent. What would probably come about through discovery would be a case for interference with a business relationship against LSU and, perhaps, Kiffin personally.
I doubt the university would pursue such action because it would make them unattractive to future recruits, but this is the type of case that could lead to congress addressing the concerns.