I don't go much for these "fantasy trades". But of all the wild ideas that have been floated, the one that most appeals to me (though it will never happen) would be Jason Pierre-Paul. Can you imagine trading for JPP, signing Alan Branch, and getting Chandler Jones and Sealver Siliga back. Jones and JPP on the edges with Nink and Easley rotating, and Wilfork, Branch, Easley, Jones, Siliga and Walker at DT? That would also allow the Pats to use Nink more creative as a DE/LB, along with Hightower, Collins and Ayers.
Again, it's just a fantasy trade, and will never happen. But it's one that I'd actually consider making if it were an option.