Your solution, at best, allows for me to help address the problem with regards to local representation. What it doesn't help solve at all is the issue of a culture-wide system of oppression. Even if I was successful in getting a woman elected in my district, that doesn't actually address the core problem at all.
The lack of women in Congress is a symptom of the greater issue, not the problem itself. Which is precisely why I think it's imperative that our government and our culture recognize that this greater problem exists. Right now, it's fundamentally the same as the new racism that has taken hold of our culture.
But pretending like it isn't an issue we have to actively address because a representative system means we can address it ourselves is steeping with privilege. It's easy to take that stance when you aren't the one facing the oppression. When a good half the country (including many, many women) have been taught by their culture to think of feminism as a dirty word, that is a serious blow against ALL women.
It's irresponsible to charge a group, any group, with picking themselves up by the bootstraps when the systems in place do just about everything they can to keep that group from even believing that change is necessary, let alone desirable.