And if Carr doesn't sign with you go on WC and post something at least 4 chat sections long about what a betrayal this is, how you will never, ever forgive him, and start inventing "crimes" he committed while he is with you. Then, when he is 38 and still on the free agent market well into spring training, sign him once more and gush about healed feelings, mended fences, and how never truly stopped caring about him. Give roughly twice the at bats he deserves given his skill set, announce in WC every time he goes 3 for 3 or crosses an important statistical threshold.
I have done this at least twice and seen it done two other times. Its soooo much fun.
And if he does sign with you despite "testing the market", claim part of the deal was that you have to rename your team after him as part of the deal once he retires. And then really do it! I am in the process of this in Cobbfather about 4 seasons away from going from the Colorado Spring From My Loins to the Colorado Springs Dizzy Leonards.