you can try waterless shampoo. i just stuck it out with morgan. she looked like swamp thing when i was finally able to give her a bath hahaha
THAT IS JUST HILARIOUS
This will work to clean the hair without water or shampoo.
Place 1/2 to 1-cup bran, oatmeal, or cornmeal on a cookie sheet. Put the oven on low for 5 minutes to warm the grain. Removing a little at a time, so that the rest stays warm but not too hot, rub the grain into the fur with a towel. Concentrate on the greasy, dirty areas. Then brush these areas thoroughly to get the grain out.