Tom Brady isn't the type of player that is likely to get hurt in a game like this. Not under usual conditions. However, it's a rainy day in New England and I think that might swing the balance of this question to him NOT playing very much today. We all know how competitive he is and he'll want to play most, if not the entire game - however, there truly isn't anything to play for and the Patriots need to get ready for the post-season.
In more pressing news, the Patriots should rest Gronk - that man doesn't know how to play in 'second gear' and should be rested for the playoffs!!!