You must have a road kill permit (for deer and bear) issued by a law enforcement officer to pick up road kill. For other game that is road killed, you must possess the appropriate license and the game you pick up must be in season and included in your daily bag limit. Having the correct license and in season is the only way to pick up other road kill. You will not get a road kill permit for any type of animal or bird, including turkey, because there is no such thing as a road kill permit for those species.
If you are talking trapping coyotes, you may not use game animals for bait, page 40 of the Hunting and Trapping Guide.
If you are talking about hunting coyote and you legally obtained what ever game animal you are talking about and happened to take it out to the back 40 to feed other wild animals, eagles, ****, bear, whatever and you happened to be hunting coyotes where you dumped these animals, you would be alright.