Let me help you with that answer:
BWHAAAA....Haaaaa.....haaaaa....... while we are at it, let's just sign Tebow as well.
Look, like everyone else, I know this guy sucks as a starting or franchise QB. But as a back-up? $hoot, you could do a heckuva lot worse (e.g. Batch, Leftwich) than Buttfumble as your back-up QB. Five years starting experience, under 30 years old, and deep playoff experience (two AFCC games)...
It's not going to happen, because he will most certainly go to a place where his prospects to start are much greater... Plus, we don't need his "pretty-boy" drama. But I can't think of many (any) back-ups who are obviously better than him.