My dogs have removed all the grass that in their 70x40ft run. Any water just turns to mud. Any holes become deep puddles. As long as the mud isn't like quicksand, I keep a bucket of water on the backporch with old towels. The girls are trained to put their foot, one at a time in the bucket so that I can wash it off. The towel I use to dry them with, I also use it to clean off their bellies.
He have been putting straw down to prevent caked on mud as much as possible.
Summer isn't a problem. CattleDogs are "wash & wear" dog. Get them muddy, let them jump in a lake, river, pond or in our case, Katies garden tub. TADA!