Push with A7 offsuit?

[willperkins]

No real reads on SB. He has shown down decent starting hands.

BB is very LAGgy and built his stack by getting very lucky and busting people out with worse starting hands.

If hero raises or pushes, he feels certain that BB will call with any Ace, face card, two suited, or two connectors.

What would you do with this hand?


$10/$1
Paradise Poker No-Limit Hold'em Tourney, Big Blind is t500 (4 handed) converter

Hero (t3170.00)
Button (t1830.00)
SB (t2660.00)
BB (t2340.00)

Preflop: Hero is UTG with A[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/heart.gif[/img]. SB posts a blind of t250, BB posta blind of t500.
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Hero??