crows eat carrion don't they? I think they may compete with Mr. Coyote for food. Of course if the crows find the carrion first Mr. Coyote might come to see what's going on and steal the food.
I love the idea of using a crow call to communicate with your hunting partner. But I would want to use the various type of calls that crows actually make in my coded messages to my hunting partner.
Three Caws in a row is the crow warning signal for danger so I might want to leave that one alone if you are hunting coyotes. Some animals learn the danger calls of other species and know that something is up when the crows start using their warning calls.