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doubtful decisions on 3 streets

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doubtful decisions on 3 streets

Blinds: $0.01/$0.02 (6 Players) BN: $2.00
SB: $2.00
BB: $2.67
UTG: $2.99
MP: $5.62
CO: $3.90 (Hero)
Preflop ($0.03) Hero is CO with Q 9 Q 7
2 folds, Hero raises to $0.06, BN calls $0.06, 2 folds
Flop ($0.15) 7 9 T
Hero checks, BN checks
Since I don't have x/r range as PFR here I need to decide whether to bet/fold or x/c. On the one hand we block a lot of rundown combos like QJxx, T98x and so on, on the other hand it's still a lot 8 (J,T,9,7,6) hands in villian's range. So I don't think I can print money by betting. From other perspective it allows me to bluff barrel on 8,J,9 (I don't know, if it's good idea vs. villain's calling range) and to protect my range on 9 and 7. But I'm sure I'm behind villains calling range and have few outs to improve.
Check puts me on a creepy spot as well: I have a vulnerable hand on draw heavy dynamic flop OOP. I think I have enough equity to x/c but what is my gameplan? I can't bluff any turn after checking the flop, and I can't construct strong enough x/c range here at all.
So what is better?
Turn ($0.15) 7 9 T A
Hero checks, BN bets $0.12, Hero calls $0.12
The only reason to call this turn is villain's check otf. Still, even against dry ace we have only 34%
River ($0.39) 7 9 T A Q
Hero checks, BN checks
I think, I should VB the river since only KJ improves. And it's not too much KJ combos in villain's range after checking this flop. On the other hand it's not that easy to call such board runout w/ some top+mid pair.
Final Pot CO wins and shows three of a kind, Queens.
CO wins $0.38
Rake is $0.01

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