Having checked the wikipedia entry on her ouster, it sounds like the production company which held her contract as Miss California arranged things so that she’d be in breach of contract. Reading between the lines, it seems that the production company attempted to push her into appearances which have not traditionally been part of the Miss California franchise (Playboy and a reality TV show), and when she refused they terminated her contract.
It would be interesting if they make the same demands of her successor.
A simple comparison of the history of required appearances, plus noting any "extras" they tacked on after her Miss USA competition, should be enough for a successful suit.
Selecting the jury would take about ten years, though (there ain't much middle ground).