[Jeebus]

I think it is a pretty good idea to use this game. It has the obviousness of asking to buy a drink, the easy out of a note, plus it is somewhat engaging. You aren't saying "Hey let me buy you a drink so I can put it in your butt" you're giving her something to think about and making yourself seem fun.

I also like the idea of showing her what she won. but first look at her see if she seems to be looking towards you (more importantly is one of her friends looking at you, that means she is) then have the bartender send her a drink with a note saying "rematch?"