1/2 game, 300 effective. I am in BB with KK, villain is in sb with about 240 effective. He is playing semi tight but only opening a narrow range preflop.

OTTH

MP calls 2, co calls 2, and button calls 2, Villain in SB raises to 16, I am in BB and 3 bet to 50 with KK, all fold and SB flats.

Flop is Qs 10c 9h, SB checks, not the greatest flop here for a narrow range calling a 3 bet so I decide to check behind for pot control.

Turn is a Jd, SB leads for 55.....

If you look like you might be tilty, I might go even bigger pre.

I go ahead and c-bet, as his range here probably has a lot of one pair hands like AQ, and JJ, plus although there you block a lot of combos of AK, there are still 8 of them and it has a lot of equity against you with 7 outs (aces and jacks) taht youu wouldn't mind folding out.

AP, just flat. He has AK here, ldo, but also a lot of sets and still some TPTK. If you shove, you lose his one pair hands, and the sets still have a lot of equity and probably aren't folding even on the four-liner given the equity and your image.

Probably doesn't matter too much at these stack depths, but preflop with all of the limpers behind you I would size up a little bit bigger. Just to discourage folds out of the limpers (even more than they are already getting). I'd go $60 personally, especially against a tight player raising in the SB.

As played, I am betting the flop. He has lots of AK/AQ/AJ hands in his 2b raise / flat call 3b range. With a STP ratio of roughly 1.9:1, you need to be prepared to stack off on this flop. AA I may check a little more frequently since we double block two of the Ax cards we want V to have, but KK with the gutshot combined with the overpair, just bet/call all in.

As played on turn: Call or All-In are both totally fine. I lean towards All-In, that way if he has a set he has some incentive to "call and catch", where he may check fold the river.

Grunch.

Bigger pre since people may think you're tilted. (Average 1/2 player is rarely involved in a 400 BB+ pot unless the game is uncapped.

Especially with a potentially tilted image, I think flop is a slam dunk bet. Most people (incorrectly) rarely r/f enough pre, especially against a 3x sizing so I wouldn't be surprised if SB continued with his entire open range vs a BB 3!.

So I'm not sure the ranges are nearly as condensed as they would be if he opened UTG +1, there were a few callers in between, and you made it $115 from the BB, for example.

Since you said he was semi tight I'll give him a range of 77-QQ, KQ+, AJ+.

Combinatorics:
Against this range we have over 70% equity on Qs-10c-9h. According to flopzilla, he has 0 combos of two pair, 0 combos of straights, and 9 combos of sets. We're missing a street of value on a dynamic board against 18 combos of top pair, 22 combos of OESD, 6 combos of OESD + pair, and 12 combos of gutshot +pair that will all call a $65 bet considering your image.

AP I call in position. He has all the sets here and will likely pay off a $100 bet OTR. This allows you the chance to lose the minimum on a board pair, given that you're IP