Provided they could find any takers.
The perfect fit would be a contending team with the pieces in place to make a Super Bowl run, but who need a championship caliber QB. And! who can afford the $30 million for the 2016 season alone.
Brees has two good seasons left....probably. This recent foot injury is not career-threatening, but is a preview of coming attractions. It is over in New Orleans for the next few years. Even if Payton stays, and that is no guarantee, it will take several strong drafts to rebuild the team into a contender, and Brees' ridiculous salary and his age don't fit that formula. There is no reason for Brees to waste the next 2-3 seasons, his last in football, in a rebuilding scenario. And the Saints need the salary cap room to afford enough good players.
Now, the question is, which franchise would be the best fit for Brees?