5NL FR AJs in MP2 - bet this turn?

[daviddem]

I hate AJ, apart for stealing or in LP against one or two loose limpers, so I am still not sure why I did not throw this one away. Part of it I guess is because it was suited and the remaining players were all very tight (apart from the caller who is slightly looser).

Opp is 20/9/3.0AF over 35 hands and I'll assume he flats the preflop raise with about 11% of his hands, which would be JJ-22,ATs+,KTs+,QTs+,JTs,AQo+,KQo,QJo or the likes.

Flop is standard I think, but I should probably have bet a bit more due to connectedness and the likelihood he holds overs. Reason I didn't is that if I bet the pot only when I have a hand and 2/3 or 3/4 pot when I cbet, it quickly becomes pretty noticeable. Still, I should have potted this one (and probably not cbet it if I had missed).

He flats the bet and at this point I have him on AdKd,AdQd,AJs,AdTd,KdTd,KJs,KQs,QTs+,JTs,AJo,QJo

I did not include the sets because he would most likely not slow play them on this board. Against this range with the Qh on the turn I am a very slight underdog (47% equity).

Bet? Check? Plan? I'll post the rest of the hand when I get some comments about this turn. OOP on the turn is probably the worst leak in my game.

Please don't say "fold pre, you're only getting called or raised by the nits with better hands". I know.

Full Tilt No-Limit Hold'em, $0.05 BB (8 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

saw flop

Hero (MP1) ($5)
MP2 ($4.97)
CO ($5.07)
Button ($4.93)
SB ($11.89)
BB ($6.82)
UTG ($2.26)
UTG+1 ($5.07)

Preflop: Hero is MP1 with J, A
2 folds, Hero bets $0.20, MP2 calls $0.20, 4 folds

Flop: ($0.47) J, 9, 3 (2 players)
Hero bets $0.35, MP2 calls $0.35

Turn: ($1.17) Q (2 players)