I need to let the EA run it's course, but it stinks waiting it out.
This isn't a waiting game. As long as you let him cake-eat he will continue to do so. If he and OW stop talking then rest assured there will be OW2 or 3 or 4 waiting in the wings.
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I just want to expose her, so that she will stop pursuing H.
Won't work. It almost always drives the WAS and OP closer together. It makes them feel like it's "them against the world", like they are a team. Your beef is with H, not OW. If he's sitting there with a big smile on his face texting OW you should make his life miserable. Tell him to go in the backyard if he wants to do that crap.