Yuck. I've gotten myself stuck in a mixture of sand and clay before. It was like trying to get cement off the bike, and never mind my shoes! Frame and tires you can wash with a hose, provided you stay away from the hubs and bottom bracket. If the brakes were rubbing, you probably didn't damage the bearings, but you might have knocked them out of alignment or something, depended on your brakes. I'd have your shop check the hubs and bottom bracket. Personally, I'd spray down the tires and parts of the frame away from major bearings, and then let the rest of it dry and break it off.