€20 NLHE 6-max: How much would you 3 bet and future plan?

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This is obviously a dream scenario but could end in a nightmare.

iPoker – €0.20 NL (6 max) – Holdem – 4 players
Hand converted by PokerTracker 4

BB: 295.4 BB (VPIP: 56.74, PFR: 33.10, 3Bet Preflop: 17.24, Hands: 289)
CO: 121.7 BB (VPIP: 42.11, PFR: 5.26, 3Bet Preflop: 5.56, Hands: 39)
BTN: 100 BB (VPIP: 23.79, PFR: 19.10, 3Bet Preflop: 5.38, Hands: 1,453)
Hero (SB): 376.1 BB

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Q:heart: A:spade:

CO calls 1 BB, fold, Hero raises to 3.5 BB, BB calls 2.5 BB, CO calls 2.5 BB

Flop: (10.5 BB, 3 players) J:diamond: T:diamond: K:club:
Hero bets 8.4 BB, BB raises to 20 BB,

Now we are up against a very aggressive fishy player. A set is unlikely as surely he is 3 betting TT/JJ IP. So that leaves us with 2 pair hands, Qx hands and of course the dream Q9. But what I am worried about is a flush draw which he could very well have here.

So now the question is how much do you 3 bet? This is an interesting greed vs value decision. He is a bad player that is for sure but I have not figured yet just how bad.

So if your 3 bet gets called how do you react if a diamond hits the turn or a pair? I personally am willing to make a committing turn bet with a pair as sets are unlikely but really scared of a turn diamond.

I also really don’t want a situation where let’s say he has Q9, decides to call my 3 bet and then cooler cards destroy the action on future streets. If he really has Q9 I am 99% sure he would even call an outright shove. As aggressive as he may seem he wasn’t 2 betting post flop all that much.

Maybe I should just make it 150 BB? It won’t matter what comes on the turn then.

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