KQ multileval wierdness

[edtost]

hand occured between two friends of mine on our trip to the borg last night. Hero, who mainly plays party 2/4 and has a weak-tightish image, open raises utg with KQo at 3/6. villain, a solid player who regularly multitables 200+15's but has played a lot of limit before and knows how hero plays 3-bets from utg+1. folded to a fish in the small blind who semi-coldcalled 3, bb folds, hero calls.

flop is raggedy undercards, no real draws to speak of, and hero has no meaningful backdoors. what's your plan for this hand? it seems like we discussed this for way too long during the car ride home.

i'll add my thoughts in after the discussion starts so as not to influence responses.