This is going to be a really big challenge. Annunen has been decent, but I'm not sure he moves well enough to really ever be more than he is right now?

And like you say, if he ever does become better, we'll just lose him in the Expansion Drafts.
I know the ship has sailed and Trotz isn't going to do it, but I'd still advocate for trying to trade Saros before July 1. His Cap hit will look miniscule to teams in the new Cap world. But let some other team resurrect him into a solid starter again, I don't want us to spend the 8 years trying. We can easily patch the position with temporary guys at the level he has been playing the last 2 seasons. Once you get past July 1st, there is no easy escape hatch if things continue to go downhill with him.
It would also be great to find a way to keep Matthew Murray around in Milwaukee. He has really helped carry the team to some wins in games they've been outshot and outplayed while weathering the storm of injuries and callups. He has really separated himself from Chrona as the true starter down there, and a league All-Star. He's only making $175k, but I'd definitely bump that up almost to a full NHL minimum just to keep him on hand as a perfect #3 guy.
Haider has been decent in Atlanta, we might not sign Jatkola or Milota, who knows. There's no clear NHL goaltending prospect in the system right now, and that is definitely something that needs to be addressed.