Do you really want to see a list of all the QB's who've missed time recently?
If your QB is taking hits, injuries are likely to follow. In Bradford's particular case, granted, the particular plays where he was injured weren't devastating hits but that isn't really the point. In Carolina he was running because of protection breakdown and against Cleveland, he was getting hit because Long missed his assignment.
Being a Rams fan, I don't expect the kind of good luck that it'll take for Bradford to bounce back and have a few year run of relatively injury free seasons. Of course, that skepticism extends to the Rams finding a franchise QB at all so I'm left with "the Devil you know".
There's no downside to the Rams improving their line though so I think that should be the focus.