It's been a long time since I cracked one of the books, and to be honest I never got around to finishing them all, but it's stuck with me that the Wheel keeps on spinning and weaving. Maybe the Power being tainted and cleansed is a cyclical thing, and sometimes it's the male half, as the books depict, and others it's the female, or maybe in others both or none?
I'm not really set on it one way or another. There's neat stuff that could come of it and the attendant baggage that built up in the world from it, but it's equally interesting to me if the PSW we play in has a cleansed Power and the White and Black Towers with their respective channelers are allied faction with goals in common and goals distinct from each other, and when you throw together an Asha'man and Aes Sedai we get the heady mix of us all needing to keep each other alive on the adventure but also knowing in the backs of our minds that we don't all serve the same master. And if we get Aiel or Wolfkin in the mix then there's the potential to get people from the outside who can challenge the assumptions of the representatives of the Towers.
I think as a basic framework, if nothing else, the basis could be that there's been Trolloc sightings, you know, over there, and the White Tower's sent someone to check it out. Along the way the characters live, love, learn, and fight, no matter who they are and where they're from. Along the way maybe they run into Weird Stuff (y'know, like the ones that Mat got his spear from), find some angreals (whether they be angreals, sa'angreals, or ter'angreals) to make things interesting, and cross people who are bad news.