I think Jerry Sloan is a better fit. They do a bunch of pick and rolls anyway, and who is better than Jerry Sloan at coaching a PG and PF doing pick rolls?
SVG is another good one.
The reason why Phil Jackson may not be ideal is because CP3 game is more ball dominant. Phil Jackson would take that away with the triangle. It could be a good thing, but it's unknown how it could affect a PG like CP3. You can say that Pippen played point with Phil, and they didn't run the triangle all the time. He could do something similar.
Their defense would improve with all three coaches.
Go back further. Brand, Maggette and Kaman got 5 year deals and Mobley even did. The idea that Sterling won't pay for players is dated. Clippers also offered Kobe and Arenas the max. I will admit Sterling skimps out on coaches though.