Should the Red Sox Look at Peavy?

Jake Peavy previously stated that he did not want to play in the A.L. Now that the deal with the Cubbies has fallen apart he may be open to the idea of joining baseball's dominant league. Barry Axelrod said the Red Sox could be one place he would play:

“Jake has a strong preference to stay in the National League. If Jake's ever going to accept anything to the American League – and I don't want this to be taken wrong – I can safely say that it's going to be the Yankees or Red Sox or maybe the Angels. Those teams are going to be in contention and are going to spend money. If there were circumstances where he would be asked to go to the AL, kicking and screaming, those are the three places.”

The Pads are having a fire-sale and are in need of a shortstop. The Sox could send them Lugo and cover most of his salary, throw in a prospect or two and try to land Peavy. How nice would it be if the Red Sox could add Peavy to an already good rotation?