Amare Stoudemire and Carmelo Anthony will NEVER co-exist because they are both the same types of players. They both arent good defenders, they arent both good rebounders. They both are good offensive players, but Carmelo Anthony is way better offensive than Amare Stoudemire.

With Tyson Chandler being in the middle, you need a PF who can shot from the outside, defend and rebound. trade Amare Stoudemire, heres a few players I can think of.

Amare traded to Raptors for Andrea Bargnani
This trade would work because hes a great shooter. He might not be a great rebounder and not a great defender but he can play along side with Melo and Chandler.

Amare traded to Grizzles for Zach Randolph
This trade would be better because Zach Randolph is a great rebounder and he can shoot from the outside.

Amare traded for Elton Brand
now this trade would be okay.

Amare traded for Paul Gasol.
This trade would be my favorite one to happen. I shouldnt explain myself why, ya should know.

The Reason why Chandler, Amare Stoudemire and Carmelo doesnt mix. Because Chandler cant shoot and he takes up space in the paint. Stoudemire thrives on a open floor offensive. Amare and Melo are both the same types of players, meaning they are both iso types.