Bad spot in the BB

[11t]

So I was kind of lost in what to do here. The blinds went up on my SB and I hadn't been able to steal before hand so I am now in this spot. I doubt the BB has much, most likely a-x, or k-x and my outs could likely be tied up in his hand but is the in front of me to pass up?

Is this the last hope of a desperate man?

Also the BB was awful and I figured he'd fold unless he had a monster

PokerStars No-Limit Hold'em Tourney, Big Blind is t400 (5 handed) converter

Button (t2235)
Hero (t860)
BB (t1150)
UTG (t2405)
MP (t6850)

Preflop: Hero is SB with 6[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/spade.gif[/img].
<font color="#666666">2 folds</font>, Button calls t400, Hero...