25nl AK line check

[ShipitFMA]

<font color="blue">Villian is 56 / 18 / 2.6 over 50 hands 5-6 hands earlier i saw him shove on the river with either set/missed FD so i figured. He's been somewhat aggressive/bad</font>

Poker Stars - No Limit Hold'em Cash Game - $0.10/$0.25 Blinds - 6 Players - (LegoPoker Hand History Converter)

SB: $27.40
BB: $29.45
UTG: $42.60
Hero (MP): $25.00
CO: $28.15
BTN: $40.30

Preflop: Hero is dealt K A[img]/images/graemlins/heart.gif[/img] (6 Players)
UTG folds, <font color="red">Hero raises to $1.00</font>, CO calls $1.00, BTN calls $1.00, 2 folds

Flop: ($3.35) A 3[img]/images/graemlins/heart.gif[/img] Q[img]/images/graemlins/heart.gif[/img] (3 Players)
<font color="red">Hero bets $2.10</font>, CO folds, BTN calls $2.10

Turn: ($7.55) A 3[img]/images/graemlins/heart.gif[/img] Q[img]/images/graemlins/heart.gif[/img] 9 (2 Players)
<font color="red">Hero bets $5.25</font>, BTN calls $5.25

River: ($18.05) A 3[img]/images/graemlins/heart.gif[/img] Q[img]/images/graemlins/heart.gif[/img] 9 T (2 Players)
Hero checks, <font color="red">BTN bets $11.50</font>, Hero calls $11.50???

<font color="green">I think this is a check here as it gives villian a chance to bet missed fd and there is no real value in betting...overall, how is my line?? </font>