Well, either you wait for her to ask you out or it will have to be you doing it. It seems pretty safe to assume that the former won't happen (right?), so you should forget the fear of being ridiculous. It will probably be ridiculous, but who cares? Even if it gets known by the entire school (in case that's one of the things bothering you), in a couple of years it will all seem normal in insight. If see says no (ie, "That'd be cool homeyg, but I'm a bit busy now, it will have to wait until I finish this project..."), well, that's life and it probably won't be the last time you'll hear it. Besides, you're already single right now, so the only thing you'll loose is the anxiety (and the hope), which imo is a good thing. If she says yes, then you get everything to win.
Girls also like to be surprised, which is another point in your favour.