With Francis coming in, I'm almost sure he holds on to the "big guns" on this team. Meaning, he isn't trading EStaal and he isn't trading Skinner. You can't trade your top goal scorer on a team that doesn't score goals. Yes, Skinner has issues, so it's hard to find the best line mates to use him to his fullest.
Ward is a different story. It's clear Carolina can go on with Khudobin. It's clear Carolina needs the cap room; Ward has to go. If that means adding Carolina's 1st to Ward to trade for someone like...I don't know..Byfuglien, like someone mentioned (I have no idea if that deal would work), then Carolina should do it.
As far as what moves should be made.. I think you have to find a winger for EStaal. Maybe that comes through the Ward trade, I don't know. Maybe sign someone like Michalek. I like JStaal and Semin together.
Skinner needs a very smart, defensively-reliable center, like a Sutter, and a big body that will park himself in front of the net. Can the Canes acquire Sutter or a Sutter-type player, with a Tlusty+Nash(+) deal? I don't know. Or maybe a Ward deal for someone like Backlund..
I like the idea of Kulemin with Skinner, being the player parking himself in front of the net.
Michalek EStaal Lindholm
Gerbe JStaal Semin
Skinner Backlund Kulemin
Dwyer Malhotra whoever
After putting the defense together, if cap room would still be an issue, I don't think Liles is untradeable.