Pre-flop, 77 in BB with small stack

My logic was that I had a modest chance of winning, and as I was going to pay a max of 2BB to see the showdown I might as well put it in pre-flop when he can't get away.
Converted at PokerGeek
Absolute Limit Hold'em Ring - $0.10/$0.20 Stakes (4 handed)

Starting Stacks
Seat 1: Big blind (Hero) ($0.40)
Seat 2: CO ($1.20)
Seat 3: Button ($9.43)
Seat 5: Small blind ($3.33)

Preflop: Hero is Big blind with 7[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/heart.gif[/img].
<font color="#666666">1 fold</font>, Button raises, <font color="#666666">1 fold</font>, Hero raises, Button raises, Hero all-in ($0.10)