Hi. So I use a white, sheepskin, half back pad for shows and it has gotten a bit dirty

The first one I had we washed in cold water in the washing machine with a very mild soap and was let to dry in our house away from direct light...it still shrunk about 2"!

We brought it back to DOver and they repleced it with the one I use now. It doesn't get too dirty because I only use it for shows but I would still like to be able to clean it.
Any tips or tricks on how to clean them?