You live in Madison, one of the most bike friendly places I have ever been. I'm sure she must know people that cycle. Just walk into the party with your lycra on with your "party clothes" in a bag and ask to be shown to the bathroom. Go inside and change. I am guessing you must like this girl, and hope she may like you. If she does, the bike shorts will give her a chance to check out your butt. If she likes you, she will be looking.