The solution isn't bias in the other direction, but to look for ways to remove the bias. This is why in science we have things like double-blind studies, for example. In music, doing auditions behind a screen seems to have been effective.
Putting systematic measures in place against bias also tends to help with self-selection, since it assures applicants that they have a fair shot. I believe that's what the original poster was asking for. I don't know what the best solution is for something like Y Combinator, but it seems worth giving it some thought. Of course, it's not going to be so easy as performing music behind a screen.
The percentages you cite show this is a problem in many industries. I doubt that 50% is achievable, but I also don't think it's helpful to either say "these people are sexist" or "yeah, but everyone does it." Those are both examples of moralistic thinking. The solution is to move beyond that sort of thing and treat this as a problem to be solved.