Randolph
He's not exactly a sorry player. Yeah, he barely played, and was losing time to Shawn Kemp, but if you think back a few years Shawn Kemp was a superstar. Sure, he's not great now, but he's decent at least, and experienced. Randolph was a rookie, with only one year of college. He's got a lot of potential and would be a good player for the Clippers' third post player to backup Brand and Kandi.
Now, about their picks, if they don't trade them, I kind of like Rush, but only if they trade Maggette or QRich. In highschool he played on the same AAU team as Maggette, or QRich, or both. I know he played with one of them. I don't think he has any big ties with Dooling though. They only played together for a year. If Dooling's going to attract a player to LA because of previous ties it'll be Clarence Gilbert as an undrafted FA. I really wouldn't mind if they traded both picks for cheap veterans and future picks if it means they'll keep the players they have.