Hi, you might want to get a heat lamp to help dry them in their shed. You can get a heat lamp bulb at the hardware store for about 8 dollars (?). I put my lamp up on a shelf in a corner so the birds can decide if they want to get under the heat or not. My Francie, who is between 15 and 20 yrs lost her waterproofing due to not preening enough. Do you think yours lost their waterproofing? If so, be sure they get in the water enough so they will want to preen--that is if your weather ever dries up! Be sure to let us know how they do.
PS one time I did dry Francie with a hair dryer cuz she was so cold. She seemed to love it!