$100nl - KK vs loose player likely floating

Villain is around 42/8, folds to c-bet around 35-40% and his turn AF is twice his flop AF.

PokerStars No-Limit Hold'em, $1.00 BB (8 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

CO ($112.40)
Button ($87.95)
SB ($99)
Hero ($248.95)
UTG ($120.10)
UTG+1 ($180.45)
MP1 ($219.50)
MP2 ($100)

Preflop: Hero is BB with K, K.
4 folds, CO raises to $2, 2 folds, Hero raises to $8, CO calls $6.

Flop: ($16.50) 6, 9, 3 (2 players)
Hero bets $14, CO calls $14.

Turn: ($44.50) 4 (2 players)
Hero checks, CO bets $9, Hero raises to...

My interpretation of villain's stats leads me to play the hand like this, but how much should I raise? If you don't like this line, how else would you play it?

bet bet bet

Opp is a fish and theres some draws, checking turn must be costing you money.

AF arent supposed to be accurate till u have a few 1000 hands on ppl.

No way i ever check to this guy, ill cringe if he pushes turn when i bet.

as played, make standard raise on turn as if you were IP and he lead $9. about $40

with ur read hes floaty i like it.

make it 40, dont blow out hearts/78

$50