AQ on monotone board vs HUGE DONKEY

[LOwrestling2001]

Villain is 80/3/1 over 100ish hands. Earlier he called a 3bet then my preflop 4bet with pocket 4's (thats how bad he is). Anyhow, is this played ok, since he calls with huge range of hands? (he's a showdown monkey)

PokerStars No-Limit Hold'em, $1.00 BB (5 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

MP ($87.50)
Button ($100)
SB ($319.20)
BB ($77.30)
Hero ($99.50)

Preflop: Hero is UTG with A[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/club.gif[/img].
<font color="#CC3333">Hero raises to $4</font>, <font color="#666666">2 folds</font>, SB calls $3.50, BB calls $3.

Flop: ($12) 3[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/club.gif[/img], A[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets $8.5</font>, SB calls $8.50, BB folds.

Turn: ($29) 6[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, <font color="#CC3333">Hero bets $23</font>, SB calls $23.

River: ($75) J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, <font color="#CC3333">Hero bets $64 (All-In)</font>, SB calls $64.

Final Pot: $203