I do what others do. I hand wash the day's bike clothing in the shower after the ride. I hang them up in my campsite overnight. They're often still damp in the morning. I drape them over my panniers and secure them with the bungees that are always over my load. If it's raining I don't wash them. I don't mind wearing dirty clothes at least once - twice in a pinch. I keep wearing my non-cycling clothes until I get to a place with a washer/dryer - either a motel or a laundromat.
I met a woman who took a flag - like the ones on the back of Bob trailers - and bungeed it horizontally on top of her load in back. The flag stuck out to the left, adding discouragement to anyone who might be tempted to pass too close. On both sides she had little clothespins, and would pin her socks to it to dry during the day. It made quite a picture when I rode behind her!