Here's how I deal with it.

First, I wear some of those unreasonably expensive boxers made of a silky polyester material. These don't absorb the sweat so much, but tend to wick it and allow for less irritation from dampness. Cotton just doesn't cut it in this application.

Next, if it is at all humanly possible, I wash myself (water only, no soap!) at the end of my hiking day, as part of my routine for making camp. I carry a synthetic washcloth for this purpose. When I wash myself I also wash my dirty socks and put on a clean pair. The clean pair are those I wore and then washed the day before, giving them a full 24 hours to dry out. If they are not dry by morning, I safety pin them to my pack so they air out and dry as I hike.

Lastly, I own two pair of those unreasonably expensive boxers, giving me the option to wash and alternate them in the same way I do my socks. I don't always. Washing up is often good enough. But this last option might suit you best.