Brush and brush and brush. Blanket if you can and even if it's cold in the winter time you can always spot bathe with warm water just make sure to have plenty of towels on hand to dry them out.
I love may vacuum cleaner. I found the dried mud was easy enough to get off. Then you just have to deal with the green spots.
Cowboy magic green spot remover, I swear by this stuff when I come to baths in the winter
Dry shampoo or - what I use sometimes - baby powder!