Weak line with KK in 3-bet pot?

Posted 8 years, 6 months ago

Blinds: $0.05/$0.10 (6 Players) BN: $11.64 (Hero)
SB: $10.87
BB: $9.48
UTG: $34.40
MP: $12.33
CO: $11.34

Preflop ($0.15) Hero is BN with K K

UTG folds, MP raises to $0.30, CO calls $0.30, Hero raises to $1.25, 2 folds, MP calls $0.95, CO calls $0.95

Flop ($3.90) 6 7 J

MP checks, CO bets $1.65, Hero calls $1.65, MP folds

Turn ($7.20) 6 7 J 9

CO checks, Hero checks

River ($7.20) 6 7 J 9 4

CO bets $8.44 and is all in, Hero folds

Final Pot CO wins $6.88
Rake is $0.32

How would you play this spot? I checked turn because I didn't want to bet/fold my hand versus villain's random range.