That's also my method when I run people over. Easy way to get rid of the evidence. Surely there are some parts you can't really eat, like bones and nails and hair etc. but you can grind them and use the powder in, well, certain kind of rituals.
We used to see ton's of dead deer on the way up north but it's illegal to pick them up here If you see a fresh kill or hit one you are supposed to call the cop's and then most of the time they will just give it to the nearest indian reserve