Maybe the Rams should take RGIII and trade Bradford to the Browns for the 22nd and 36th picks. The Rams arguably upgrade their QB position while getting two top-40 picks, and the Browns upgrade their QB position while retaining the number 4 pick.
I think the Rams know and like what they have in Bradford. Plus his big contract makes him tougher to trade. The Rams are looking to upgrade other parts of their team the next few years, trading the #2 pick should bring them a nice haul of picks.