I think the new pitching coach could have a bigger impact on relievers like Edwards and Maples vs the starting pitchers. The starters nibble because they need to.
I was looking at a Rays message board and Odorizzi might be on the block. He had a 4.14 ERA last year, but the rest of his underlying numbers were bad. Depending on the cost he could make an interesting bounce back/4th-5th starter.