10NL - Good spot to 3barrel?

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10NL - Good spot to 3barrel?

Blinds: $0.05/$0.10 (6 Players) UTG: $13.15
MP: $7.57
CO: $10.00
BN: $17.61
SB: $12.21 (Hero)
BB: $10.00
Preflop ($0.15) Hero is SB with K K
2 folds, CO raises to $0.30, BN folds, Hero raises to $1.00, BB folds, CO calls $0.70
Flop ($2.10) A 8 7
Hero bets $0.95, CO calls $0.95
Turn ($4.00) A 8 7 4
Hero bets $1.85, CO calls $1.85
River ($7.70) A 8 7 4 T
Hero checks, CO checks

4,7k hands from V 21/16
24% RFI from CO
52% fold to 3b from CP
54% fold to CB 3bpot OTF
70% fold to CB 3bpot OTT

With the Kh in our hand I like to CB 'cos we block a few of his floating range.
Turn I CB again 'cos Kh again, I would not slowplay a nutflush here, but with 67hh maybe X/C, and if V checks back, get another value OTR.
River is kinda blank, I don't have AT double barreling in this board, not even J9 or 69.
Do you think we can find a fold from AK/AQ/AJ/AT/77? Twopairs+ would raiseCB maybe?
I have 56s 76hh 89Thh 9Thh JThh KQhh in my range aswell (not at 100% frequency, I tend to flat his open range sometimes)

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