BK and I disagree

[Schneids]

This hand occured tonight at Canterbury $30/60, in which BK and I disagree about which is the right flop decision.

3 limpers to BK in the CO and he raises. Our hero (not me) cold calls with 33. Both blinds call. 7 to the flop.

Flop 554 two clubs (hero has 3c). Checked to our hero on the button.

Background: SB is very LAG, would have likely bet out here with any piece of the board. He plays decent in big pots and isn't afraid to splash around. There's a chance he'll checkraise with overcards, and likely will take one off. BB is likely to get out unless he has flopped a good draw or made hand. Ditto UTG. UTG+1, another limper, is a tight player who is likely on tilt at the moment and loosening up his hand range because he's running bad. MP1, our last limper, is someone who sees 50% of flops and chases too often post flop, but likely would have bet into BK with any piece or draw. CO is BK, our PFR.

So, we're likely looking at a bet eliminating 1-4 opponents, most likely 2-3.

Should he bet here or check?