Be friends. A man & a woman can be just friends, even though many people think otherwise. And you can still ask her to go do stuff with you, even if it's just bumming around a mall or a park or something.

One of my guy friends is a photographer & I used to tag along w/him (he moved to Minnesota, brrrr) to take photos of interesting graffiti & weird trees. Even though he moved out of state, we still send each other post cards & funky e-mail - I've known him since forever & we have a brilliant relationship.