AK in CO vs Button

[chincheck]

Villain was 17.2/12.5 over 67 hands. Should I have checked the turn?

PokerStars No-Limit Hold'em, $0.10 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Hero (CO) ($9.95)
Button ($12.75)
SB ($19.10)
BB ($11.40)
UTG ($10)
MP ($7.45)

Preflop: Hero is CO with K, A
2 folds, Hero bets $0.40, Button calls $0.40, 2 folds

Flop: ($0.95) 6, K, J (2 players)
Hero bets $0.65, Button calls $0.65

Turn: ($2.25) 10 (2 players)
Hero bets $1.50, Button raises to $4,Hero?

[clvacva]

KJ/JT/TT/AQ/Q9/66/QcJc are all in his range don't think opponent would start raising with KQ/QJ
Turn for me is a bet/fold you could have gotten value from KQ/QJ/AJ but as soon as he raises it is a fold as opponent is gonna have 2pair/straights/sets.