badly played AK OOP

Villain is 21/11/2 over 521 hands, mostly mined. My default is to just barrell this, but I had been pretty aggro at this table over the 30ish hands and planned on CRAI. for some reason i decided to call and c/c the river. AT is really the only hand i can see him doing this and im pretty sure this is a fold on the river. I feel like i played this hand horribly.

Whats my best line here?

Full Tilt No-Limit Hold'em, $0.50 BB (6 handed) Full-Tilt Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

saw flop|saw showdown

BB ($59.30)
UTG ($10.25)
MP ($50)
Hero ($62.65)
Button ($58.95)
SB ($41.95)

Preflop: Hero is CO with K, A.
UTG calls $0.50, 1 fold, Hero raises to $2.25, Button calls $2.25, 2 folds, UTG calls $1.75.

Flop: ($7.50) A, J, 4 (3 players)
UTG checks, Hero bets $5.5, Button calls $5.50, UTG folds.

Turn: ($18.50) 9 (2 players)
Hero checks, Button bets $11, Hero calls $11.

River: ($40.50) Q (2 players)
Hero checks, Button bets $22, Hero ???

Final Pot: $40.50

Hand is played fine, now fold.

Id play it exactly the same, even your bet sizing is good, now fold.

edit: nope, i misread the hh, id keep control of the pot and 11 on the turn myself.

i def. folded, but my line still feels gross. I still think betting the turn is better here.

lol im seriously not with it today, i thought it was you who bet 11 on the turn not him,in that case, yeah id bet the turn for 11 and fold to a raise.