A player I would like the Kings to sign on a cheap "prove me" deal is Justice Winslow.
He's a high BBIQ - defensive type player that Monte likes. He probably could be had for a modest $3-5 mil/year contract, especially with FA money drying up so quickly. Winslow has been very injury prone, but I think he is a low risk/high reward type acquisition that the Kings should take a flyer on.