Agree on Del Negro being the best bet, but I wonder if Jackson gets some serious consideration here. He was an absolute appalling head coach for some of the things he did to the Warriors (the Ezeli thing was just ****ed up), but he did make Klay into an elite defender and helped Curry develop elite offensive consistency. The latter may have happened with or without Jackson, but Klay becoming the defender he is definitely wouldn't have. He also wants to coach in Cali so I'm sure that will get some consideration. If your the Kings and literally any decent coach is telling you no, maybe you get a coach who can maybe eek you into the playoffs and take the good with the bad. The owner is crazy enough to consider it I think.
Brain Shaw is probably a bigger snake than Jackson though. I've literally never seen an entire team, not one or two or the majority, but an entire team despise a head coach like his team did in his last season there.