Oh, that's not permitted where I live. I'm not even sure you can throw away dead animals, I'd have to check.
Now, where I grew up in Eastern Washington, we had a burn barrel, AND a burn pile, and frankly we had acres and acres of woods everywhere around. Drag the offal away, dump it in the woods; the coyotes would take care of the problem in a hurry. I even knew of unofficial and official dump sites for dead animals - pits for the roadkill deer the DOT picked up, and places where local farmers took dead animals including dogs. I saw a blue heeler there once with a bullet hole in its forehead, together with goats, sheep, even a horse. The coyotes just cleaned it all up.