High PP spot in drawy board

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High PP spot in drawy board

Blinds: $0.05/$0.10 (6 Players) UTG: $10.91 (Hero)
MP: $6.84
CO: $11.27
BN: $10.00
SB: $10.00
BB: $24.31
Preflop ($0.15) Hero is UTG with K K
Hero raises to $0.35, MP folds, CO calls $0.35, 3 folds
Standard open here
Flop ($0.85) 6 5 J
Hero bets $0.40, CO calls $0.40
I think my range is pretty ahead with this flop but by just checking i'm loosing a lot of value against Villain's SC and Suited broadway combos which could don't hit draws turn.
Do you think my sizing is correct ?
Turn ($1.65) 6 5 J J
Hero bets $1.10, CO calls $1.10
Well, double Jack in this board.
Considering his line i put him turn with a range like {QQ,TT-77,JTs,AhQh,AhJh,QsJs,QcJc,AhTh,Th9h,9h8h,8h7h,7h6h,6d5d,6c5c,AKo}
constitued by a lot of FD and some SD. I have something like 85% equity against his range this is why i 2 barrel to protect against his draws and value against combos i beat.
River ($3.85) 6 5 J J 4
Hero bets $2.70, CO raises to $9.42 and is all in
Brick river, this is why i fired a 3 barrel but wow he shoved!
Very few combos beat me, all his FD have just failed and now only a Jack trips can beat me which represent 12.5% of his turn range.
I think this is an interesant spot, his sizing gives me like 37% pot odds and i think that his range turn is pretty polarized between failed FD combos and trips let me know what do you think about Calling or Folding !

Hi friends !
I drop here a CG hand where i'm facing tought river decision.
Villain is 64/33 3Bet 11,1 over 76 hands
Let me know what should you do against this huge sizing river !

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