No chance he accepts, because even the Twins would surely be willing to extend him an offer that would top the QO, so even if he was dead set on playing here, he'd play here under better terms.
As for playing for a winner, he seems like the perfect replacement for Charlie Morton in Atlanta; I'll bet he's near the top of their list of wants, and it's hard to top the 'winning' situation there. And while St. Louis was a loser last year, they normally aren't and are probably only a couple of starters away from being a contender. Both cities are closer to his hometown as well, should he be concerned with that sort of thing.
Twins likely are front runners to retain him, but not with the QO.