$78 - 6 max, getting right odds to shove, but at expense of image?

[Sparta45]

6 max, top 2 pay.

I'm guessing button is shoving at least top 50%. He's decent, he might even be shoving wider. If I re-shove, I'm getting 2 to 1 on my money and I'm pretty sure BB will fold most hands.

Obviously if I shove, I mess up my image a bit since this hand will definitely be shown down. Do you shove this? If not....what range of hands are you shoving?

PokerStars No-Limit Hold'em Tourney, Big Blind is t400 (4 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB (t2490)
UTG (t2245)
Button (t1140)
Hero (t3125)

Preflop: Hero is SB with J[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Button raises to t1140</font>, <font color="#666666">[i]

Final Pot: t1215