GS+FD OOP turn play

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GS+FD OOP turn play

Blinds: $5.00/$10.00 (4 Players) SB: $276.10
BB: $1423.55
CO: $1165.00 (Hero)
BN: $1374.30
im BB here, some probs with converting
Preflop ($15.00) Hero is CO with Q 5
BN raises to $30.00, SB calls $25.00, Hero calls $20.00
Flop ($90.00) 3 T 6
SB checks, Hero bets $63.00, BN raises to $170.00, SB folds, Hero calls $107.00

villains opens 3x as a std play. on the flop i like to lead sets, some top/middle pairs and draws, since i think villain will not be cbeting too much on this flop, so mainly for value/protection and semibluff
his raise is kinda scary i guess, since hes isolating weaker player without leaving himself FE against his stack. On the other hand, im not sure what his flop raising range might be : i mean there's no sense to raise really good hands and chase away weaker player, but im not sure what he thinks :D
so his range is prob KT, AT, maybe QT, some JJ-QQ and draws. what do you think ?
anyway, on the flop i have the odds to continue. TURN IS 2d. the big problem is here. pot is 430, we face 290 bet, he has 885 more behind, i have 965.
against that range we kinda have the odds to call, since we have usually at least 13 outs, but beeing OOP sucks hard. We also wont be available to bluff pretty much anything on the rvr. What about shove ? if i calculate it correct villain needs to be folding about 30 % of the time for our EV to be positive. seems reasonable he can fold that many ?

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