10/25 NL live simple 3-bet situation

[McStinky]

Foxwoods 10/25, 10-handed.

Villain is a decent player, and sees me as mostly playing solid hands but occasionally getting tricky. Reads are from previous sessions, because he just sat down at this table.

Villain has 3000, I cover.

I am on the cutoff with 9[img]/images/graemlins/diamond.gif[/img]9[img]/images/graemlins/club.gif[/img].

Preflop
Villain raises from MP to 100. I reraise to 350 and villain calls without thinking about it too much.

Flop (725): K[img]/images/graemlins/spade.gif[/img]9[img]/images/graemlins/spade.gif[/img]3[img]/images/graemlins/heart.gif[/img]
Villain checks. Should I check here or bet? I am thinking check, but just want to make sure. I think he will fold QQ if I bet, but I may be able to extract some value from it later if I check. And if he has AK I can get value now or later. Since the stacks are not terribly deep, it doesn't seem too important to start building a pot here. And I don't really see any turn cards killing my action.