I put a thick, just washed and very wet bathroom rug on my dusty, unused for a long time, wooden dryer rack and put it on the back deck, in the Southern, three digit air. It dried quickly and looked whiter than usual, even when bleached.
That rug would normally take at least 30-40 minutes to machine dry and a lot of times I just drape it over any surface I can find so I don't have to put it in the dryer with other items or by its self.
The sun dryed it as well as the dryer plus I've read that the sun's rays will kill bacteria which is a good thing. I don't like ickies.