3bet A3s SB vs CO open, KJ4tt /w FD

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3bet A3s SB vs CO open, KJ4tt /w FD

BN: $62.90
SB: $26.58 (Hero)
BB: $13.68
UTG: $16.26
HJ: $23.17
CO: $48.35
Assume the villain has reasonable ranges. no blatant exploitable reads.



Preflop ($0.35) (6 Players)
Hero was dealt A 3
UTG folds, HJ folds, CO raises to $0.75, BN folds, Hero raises to $2.40, BB folds, CO calls $1.65
Flop ($5.15) 4 K J (2 Players)
Hero bets $2.50, CO calls $2.50
i'm sure this is an obvious cbet, i have good equity when called and can fold out some small pairs.
Turn ($10.15) 4 K J 6 (2 Players)
Hero checks, CO checks
So my main question: Now, what if the villain is very stubborn and is taking all his top pair hands to showdown and some midpair combos too? if i knew villain is capable of folding i would simply barrel off

once the villain calls, if i bet the turn i feel i'm simply folding out those hands i beating anyway, almost all his straight draws. remember i feel this villain will be stubborn and not fold out Kx and AJ/QJ maybe JT OTT

if i am gonna call a bet i might as well be betting myself then?

River ($10.15) 4 K J 6 T (2 Players)
Hero checks, CO bets $6.75, Hero folds
i would possibly even find a call OTR if it wasnt a ten and i knew my opponent was SD happy ie. he would play passive and check back his one pair hands, maybe value bet KQ+ ... which might of bet the turn.
Final Pot
CO wins $9.60

i just don't think i get enough folds on the turn. is my raw equity enough to make another bet? 

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