re: Poker & $10 NLHE 6-max: wet board how to response to the raise
The only worry there would be a set or pocket aces. If he has either of those you're just doomed, although a set of kings is unlikely since you have one of them, and it's unlikely he would've raised preflop with pocket 3's. So at this point I'd only be realistically putting him on two hands, either pocket aces, or pocket jacks. AK is also a possibilty.
You have top pair, top kicker, with backdoor draws to nut possibilities. That's an easy all-in after seeing a flop like that, and if he does have aces or jacks, that's just a cooler that you really can't do much about. If he has the AK you'll likely be splitting. You really have no option here but to try and get it all in now, on the flop.