I've known a couple of guys that made a lot of money back in the high fur price days running grey hounds on fox and coyotes.
Videos of chase hounds and decoy dogs savaging/killing coyotes is one of the reasons it is now illegal to have a dog present when hunting coyotes, as the law is written it is illegal to shoot a coyote while you are bird hunting if you have a dog present. When WA passed the dog law I spent some time trying to get it changed at least to just pursuit , no go they didn't want to see dogs used in anyway to take coyotes. My pointer used to lay along side of me on a coyote stand and keep an eye on the up wind side of the stand with his nose. I'd put a red vest on and load the shotgun with birdshot and we'd hunt birds on the way back from the stand. Now I have to leave him in the truck and that just pisses him off.