Ugly Spot with the Wheel

[raze720]

BTN was a complete donk playing 52/9/0.52 through 86 hands.

SB was short-stacking at least two tables, starting at each with $10. He was playing 11/9/9 through 149 hands.

Cryptologic - No Limit Hold'em Cash Game - $0.50/$1 Blinds - 6 Players - (LegoPoker Hand History Converter)

SB: $35.90
BB: $62.53
Hero (UTG): $100.00
MP: $199.77
CO: $100.00
BTN: $175.50

Preflop: Hero is dealt A[img]/images/graemlins/diamond.gif[/img] Q[img]/images/graemlins/diamond.gif[/img] (6 Players)
<font color="red">Hero raises to $4.00</font>, 2 folds, BTN calls $4.00, SB calls $3.50, BB folds

Flop: ($13) 5[img]/images/graemlins/heart.gif[/img] 3[img]/images/graemlins/club.gif[/img] 4[img]/images/graemlins/spade.gif[/img] (3 Players)
SB checks, Hero checks, BTN checks

Turn: ($13) 2[img]/images/graemlins/spade.gif[/img] (3 Players)
<font color="red">SB bets $10.00</font>, Hero?

At best I'm winning half the pot here. Is it worth calling with BTN (who could easily be holding J6s) still to act?