I'm pretty sure that I misplayed every street in this hand, but I'm not going to discuss pre flop. I know it was a bit small but based on the table dynamics, I really felt like it was going to be the right sizing. It didn't work, so we'll just move along.

Table: Been pretty snug most of the day. Not that everyone is nitty, they just don't like to raise. Lots of limp folding pre flop. 2-3 people limp, and $12 takes it down pre flop 70-80% of the time.

Hero: Won one decent sized pot earlier without showdown. I 4! pre, bet the 7 high flop, and shipped the A on the turn. V folded to the $150 shove on the turn. Sitting on around $325. I've been here for ~1 hour, I've raised 4-5 times so far and I've only gotten callers 1-2 of those. I cBet every flop and won all of them. I should have an aggressive image, and maybe a bit loose too.

V1: Doesn't open too often, limps a LOT he's about 60/40 on calling raises after he limps. The few times that he's opened it's been to $10, and cBets 50% of the time (over the 4 hand sample so far.) He's got $200. Younger, 30ish

V2: Raised a few times so far. Maybe 3-4 in the hour that I've been sitting here. I haven't seen him show down a hand as of yet. Most of the time he cBets and doesn't get callers, and the one time that he did he barreled the turn and got a fold then. Covers hero.

V3: Very loose pre flop in raised pots and limped pots. Acts very quickly at all times. Doesn't give hero a lot of credit because I play loose pre vs him trying to hit a flop and take his stack. Will pay me off almost all the time I have very little FE vs this guy. Will normally bet out is he has something, almost never check raises. Not afraid to get it in pushing or calling with draws.

Hand:
Pre:
1 limp from somewhere
V1 in the HJ raises to $7
V2 in the CO calls
Hero look down at KK on the btn and 3! to $25
V3 calls in the SB
limper folds
V1 calls
V2 calls

I really expected this to get 1 caller at most based on the way the table way playing, maybe 2, but that clearly didn't happen.

Flop ($100): ATT
V1 leads for $10 (wtf?..)
V2 calls
Hero?...

3bet sizing is fine PF in position.

As played, easy call. When you raise, you want to either raise for value or as a bluff. You can't do either here since you're rarely getting value from worse or getting better to fold. Getting 12:1, folding is also out of question.

Given those odds call and hope turn play is equally passive. The most likely combination of hands here are a flush draw and an AX. However, another pocket pair could be in play also so it is possible you have the best hand, just unlikely. A TX hand is unlikely because it should have bet more or raised but AT/TT might have bet small or flatted to keep worse hands in.

Basically you don't want to get all in here unless you improve. You want to get to the showdown cheap and hope for a missed flush draw and a worse hand.