That would be my concern (using pheasant or turkey loads for a big dog). I wonder how many of the shooters (who say they've killed yotes with such) actually wounded some which ran off.I was turned off on shotguns vs coyotes many years ago. Unlike others that have had success, my experience was not positive.
My son was pheasant hunting with me when a coyote came up at his feet behind a pond dam. He shot once with #4 pheasant loads at 20 yds and rolled it. One roll and it was back on its feet running so I hit it at 30 yds with #4, making it stumble but not go down. It disappeared running like it was never hit.
Thats my one and only time to shoot a coyote with a shotgun.
I've never used shotgun when hunting coyotes, but they (yotes) get really big in Seminole. As in, "..how'd that stray calf get in the pasture?" "That's no calf! That's a coyote!"