IP in 3b pot. w\ range advantage

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IP in 3b pot. w\ range advantage

Blinds: $0.50/$1.00 (6 Players) BB: $117.85
UTG: $167.06
MP: $41.48
CO: $74.00
BN: $103.40 (Hero)
SB: $136.65
Preflop ($1.50) Hero is BN with Q 3 9 7
3 folds, Hero raises to $3.00, SB raises to $10.00, BB folds, Hero calls $7.00
Flop ($21.00) 3 6 5
SB checks, Hero bets $11.20

villain is reg, kind of taggish
in this spot has 3b of 10%

cbet in 3b pot = 50%, (OOP =48%), c/fold of 60% (decent sample)

wtsd 32%

what should be our approach to this scenario? we kinda have decent equity vs his c/calling range (AA4,AA2 no diamons,78xx,K-high diamons w\ no pair etc.) we're well behind\crushed vs x/raise range and we do have stat that makes us believe that he slightly overfolds here when checks (I assume 60% is bit too much ,might be wrong)

checkback and realize equity or bet and uncapp range\put pressure on weaker holdings (that can be ahead of us) ?

if we do bet he calls and Turn is diamond - would you consider betting (small) again? no much c\calling diamonds in his c/call,right?

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