I like them all. Of course there is Rule 63: For every male character, there is a female version of them: Patricia "Patty" Parker, niece of Aunt Betty and frail Uncle Max.

I think if it was set in the same timeframe as Peter's origin, the 1960's, being a female interested in science, and stuff, it would be harder on her, as "That's not what proper women do." The last of the misogynist era.

And yes, a casual google brings up a ton of gender bent Spider-Man fanfic.