Foxes, rabbits, squirrels whatever you are reducing, my policy is to inspect them, remove them and dispose of them with care and responsibly
Throwing them in a ditch creates problems down the line and if Joe public see a Carcase of any sort it's another mark up against the shooting fraternity, it's so easy to clear up behind you, takes five minutes at the most, keep it tidy no one knows you've been apart the absence of targeted species
The landowner on a bit I have permission on goes out with his mate and leaves 30 or 40 rabbits lying around all over the farm where the footpaths are