It's not impossible that Peavey gets a big deal, but I don't see 1 good year in the last 5 seasons justifying such a deal for a 31 year old guy. He's having a good year not great or dominant.
As for Greinke, we'll have to see how he handles the LA market and the push for a playoff spot. If he can handle that in a big media market, I would not worry about an anxiety issue that he had at age 22.