10nl 6max: AJ on 8J4 flop against opponent I've been pushing around

[a nonymous]

$0.10 BB (5 handed)

UTG ($12.15)
MP ($15.90)
Hero ($23.80)
SB ($1.40)
BB ($12.05)

Preflop: Hero is Button with J[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">1 fold</font>, MP calls $0.10, <font color="#CC3333">Hero raises to $0.5</font>, <font color="#666666">2 folds</font>, MP calls $0.40.

Flop: ($1.15) 8[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/heart.gif[/img], 4[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
MP checks, Hero bets $0.90, MP raises to $3, Hero ?

I had raised him when he limped and continuation bet when called / beaten him out of a lot of pots, so I really felt he was playing back at me/not very strong here. My question is should I raise or call (based on my read, folding is absolutely not an option)? A draw is obviously likely on this board but again, read was that he could have air too. Do you like raising or calling here? Do I have to go broke no matter what hits on the turn if I decide to call (I assume so, what if it's the worst possible card which I guess would be the Q[img]/images/graemlins/heart.gif[/img])?