A little more mange info... It is species specific. The mites that cause mange on coyotes won't cause mange on humans or dogs. The mites may get on ya but they won't cause your hair to fall out. That said, I wouldn't touch one of the things either. They creep me out.
If you listen to their conversations closely, the guys on Fast and Furious buried the mangey coyote so other coyotes wouldn't pick up the mites.
Some times coyotes will howl when you're busted--they've made you. They announce to every other coyote in the neighborhood that someone's up to no good. Other times they will howl in answer to your howl and not come because you're outside of their territorial boundary. If that's the case, move closer to them and make another set. Another thing to be aware of is coyotes (at least in this area) tend to go downwind when coming to howls. It's like long raange butt sniffing. Make sure you can see your downwind if you're using howls otherwise they will bust you without you ever seeing them.
"Make 'em show themselves if they want the downwind."
Good luck!