RE: Is this a Black Coyote
First of all, I'd say that both pictures are of the same animal.
I am comparing the white tail head to the "dog" in the first pic. If the white tail measures 12" from snout to a line between the ears ( an estimate, but a barometer anyway), then the dog is a little over 2 feet tall at the shoulders. Wolves average anout 36" at the shoulders. Much larger.
Not a wolf, but some kind of dog/husky type mix. Also, and maybe more importantly, wolves do not eat carrion. They will if starving (hell, they'll eat their young!), but much prefer fresh kill for a meal.
I agree . . . trap it.