I will have to agree with you guys, though I have not hunted "specifically for coyotes" the yotes I have dropped have been during Deer season. Two during rifle season and one with a bow. To capitalize on the one with the bow, she came in from about +- 230yrds when I first saw her, I had no intention of shooting her, AT ALL, she made her way to 10 yards under me, stil NO intention to shoot the thing. While under my stand she was eating persimmons that had fallen on the ground. Then she squatted and P****ed right under my stand, then I knew I had to try it. Shot her, and on the way down fell and shattered my heal, so no, I have no pictures.
I have seen quite a few yotes while deer hunting so maybe that's my answer to you're question, get up there where they can't smell you. Heck that's what I plan on doing this winter, but, with a rifle.