So as FA's are finding the market to be a little tougher sledding than they perhaps anticipated, and with the Reds looking to possibly bridge the gap to the next generation of minor leaguers(Stubbs, Dorn, Frazier, Francisco) I'm thinking offering a one year contract to some good talent might be the way to go.
I would put a one year offer for Burrell and for Sheets, priced somewhere around 10-14 million. You'd of course be overpaying, but it gives the players one more year to establish their market as hopefully the market rebounds next year. I'd probably only sign one of them, but whomever takes the deal first pretty dramatically upgrades the ball club.