There's a special truck that takes away dead badgers. I saw it one morning, it pulled up (near a dead badger), a guy got out, picked up the badger and swung it swiftly into the back. Then it drove off, presumably to the next dead badger.
I guess this is how you contact the badger patrol: http://www.hertsdirect.org/services/transtreets/highways/info/deadanimals/
It may not be the official badger patrol at all. I have a Bulgarian parasitologist friend who works on a nasty little thing called Mesocestoides. He carries a tarpaulin in his car and regards every bloated badger as an opportunity. He is a charming fellow, but not much in demand when it comes to getting a lift...