give up or stab?

[Coelacanth]

Button is a somewhat too loose and passive regular, BB is a named player in the Shooting Stars tournament who does hot stuff like limping UTG with 87o and calling down 77 multiway against a preflop raiser on QJ4Tx boards. Button opens, I 3-bet 7[img]/images/graemlins/diamond.gif[/img]7[img]/images/graemlins/heart.gif[/img] in the SB, BB calls, button calls. Flop Q[img]/images/graemlins/club.gif[/img]8[img]/images/graemlins/club.gif[/img]3[img]/images/graemlins/spade.gif[/img]. Should I just save my money and check-fold?

FWIW, my image is crap since I've been both card dead and losing when I get my money in, but does the answer change at all depending on my image? Button is also aware that this game is somewhat bigger than I usually play, but I don't think he's doing anything to take advantage of that.