Rockets OOP versus King High Flop, 4-Bet Pot

[DoubleJ]

Villain is 16/4/0 after 45
Haven't seen anything out of the ordinary...

PokerStars No-Limit Hold'em, $0.02 BB (6 handed) - PokerStars Converter Tool from FlopTurnRiver.com

Hero (BB) ($5.05)
UTG ($2.42)
MP ($3.07)
CO ($1.65)
Button ($0.93)
SB ($2.06)

Preflop: Hero is BB with A, A
1 fold, MP bets $0.04, CO raises to $0.10, 2 folds, Hero raises to $0.30, 1 fold, CO calls $0.20

Flop: ($0.65) 3, K, 6 (2 players)
Hero bets $0.40, CO calls $0.40

Turn: ($1.45) 2 (2 players)
Hero ???

After his PF 3-bet his range ~ QQ+, AK, so I'm left cursing that I didn't 4-bet shove.

comments?