That all depends on if they like someone they will have the opportunity to draft. I believe what the Rams have learned in rebuilding the defense and moving on from Aaron Donald is, they like the contracts of drafted players. If there is a QB you like and want to develop, that contract is very cap friendly providing you the opportunity to spend money in other areas.
LaNorris Sellers could be in play here IMO as the Head Coach of South Carolina is Shane Beamer, who is a rah, rah, guy and not much else. They fired Mike Shula so before Chris Shula moves on to become HC, maybe his Uncle provides some intel on Sellers. Sellers would be able to sit behind Stafford, learn and develop. He has a big arm and also has the ability to extend plays and would get the opportunity to sit and learn. Smart kid too, great team player, never complaining considering how this season has gone.