Flopping the nuts, deep stacks NL 1000 6max

[TomCollins]

Villian in this hand has been playing fairly solid, and has cold decked a few people to get his stack. He has 3400 and I have about 1800. Game is currently 5 handed.

I am on the button and get 8 [img]/images/graemlins/spade.gif[/img] 7 [img]/images/graemlins/spade.gif[/img].

Villian raises UTG to $35. He does this fairly often, but hasn't really been too out of line yet.

UTG+1 folds, I call, SB folds, BB calls.

Flop is 4 [img]/images/graemlins/diamond.gif[/img] 5 [img]/images/graemlins/diamond.gif[/img] 6 [img]/images/graemlins/heart.gif[/img].

BB bets $80. Villian raises to $220.

What's my move? Pop it here, and it seems obvious what I have (or at least I have a set). I put villian on anything from an overpair to AKd or a set. Villian has raised big with overcards and a flush draw before.

If I raise, how much?