The only deal I think would happen for our side that would give you close to what you want would be something like this:
Trouba, (some other asset here)
Fleury (LHD), McKeown (RHD)
Both of those two are ELC and haven't played in the pros yet, so they are ELC and don't need to be protected. Both are probably ready for sheltered 3rd pairing rolls this year (won't get that here, but you may have room for one or both) and they give you a potential top four LHD (maybe top pair with development) and a bottom four RHD (maybe middle pair top end skill). Given the fact that the canes are giving up two cost controlled, non-expansion eligible defensemen with very good potential, I think that something else would be required to come back, but I'm not sure what or who.
Given that Trouba is fairly established, I think he would get his wish of top-4 minutes at Carolina and would find himself on one of the two PP units:
Slavin - Faulk
Hanifin - Trouba
Hainsey - Pesce
Murphy
Then next year Carrick could slide into that 3rd pairing when Hainsey's contract is up and we still have Bean waiting in the wings.