Agree with most of the above except that I do not have the patience to use a hair dryer to dry clothes. If I am spending enough money to stay in motels, using the motel laundry machines is pretty cheap compared to other costs. And if I am using a motel that much, I spend several hours every day in non-bike attire for restaurants and bars, that stuff needs occasional laundry too.

I carry a small bottle of woolite soap, since I sometimes travel by air I use 3 oz bottles.

When I use the sink for laundry, many motels do not supply hangers that can hang from the shower head. So I bring two to four plastic hangers and a small handful of clothes pins. Then I can let things drip dry in the shower at first. After an hour or two I roll up the wet clothes in a dry bath towel (motel supplied), the cotton towel absorbs 80 percent of the moisture in a few minutes. Then hang things to finish drying overnight.

Exofficio brand underwear dries quite fast, as does the lycra in shorts. The pad in shorts can dry slow depending on brand. Some socks dry faster than others, I bring at least three pair of socks. I rarely bring anything cotton but I do have a couple part Egyptian cotton travel shirts that dry fast that I sometimes carry. Exception to the avoid-cotton-rule, I often carry some cotton bandannas.