How about trading back for Joe Smith? He seemed to play with solid intensity last year before the trade. Swap T-Thomas for Joe Smith. He only has a one year deal and will expire at the end of this season.
Ideally, I'd try to get Chris Wilcox before anyone... Trade both Noah & Thomas for him alone. Look, it even works in the Trade Machine:
I think he'd be the ideal C to bring back if you can get a legit post PF like Boozer.