As I said before, I've only talked to her twice so I think its still a little too early before I actually ask her to meet somewhere. Most people I know are friends with girls for weeks, even months before they first ask them out somewhere. At least in my generation of people as a high school senior, asking her to meet somewhere once is the same thing as asking her out. I can't think of any of my friends having asked their girlfriends to go for a coffee or dinner before going out with them, but hey I dunno, maybe she is different than most girls and would actually be interested in that. I think figuring out how to talk to her more than twice should come before I ask her out to meet somewhere, because as I said before she's not in a single one of my classes so she only knows me from those two conversations. And we barely talked about anything at all.
And she did seem interested in the experiment thing when I talked about it and of course I realize I can't use that joke every time.