I doubt we'll see any more PHB play tests, or if we do it will be pretty minor stuff, like a few spells or feats. I think they have what they need for the Player's Handbooks and it's probably on track for the May timeframe that was announced and retracted (I suspect they just aren't ready to commit out of an abundance of caution).
I don't think we'll see much play testing from the MM--I think they've known where they are going since Monsters of the Multiverse (I wouldn't be surprised if that one's already mostly finished)--but we'll probably see a few packets for the DMG. I'd guess maybe another revision or two on Bastions, perhaps some other subsystems like magic items, downtime, encounter building, etc.