I use Merino Wool for almost every bit of clothing I wear. Insulates well, holds up to serious wear and tear and doesn't ned to be washed every day. Dries ultra fast as well.

When I do need to dry things I have a cargo netting that goes over my rear trunk bag which turns into a little clothesline. I either loop underwear through a biner so I don't lose it, socks I weave in and out of the netting as well. Doesn't take much time to stop and flip it around, and I'm sure it is going to be dry before I stop for the day to unpack tent/sleeping bag. Unless it rains, and then I just try the whole affair over again the next day.