He's pretty much at the bottom (25th out of 31), and the only notable coach he's ahead of is John Harbaugh. The rest you'd expect at the very bottom due to having very limited success outside of their one Super Bowl.
I think you can start to argue him right around the 9 spot in that list, when he gets his second title. But my guess is most people would rank him around 15. If he stays long enough and can get near that 175-200 win mark (currently at 105), then I think he's in the top 10 safely and arguably top 8.
I expect Brees to play 4 more seasons and average 11 wins, so that effectively gets Payton to 150 wins.