Drying shoes: Put paper into the shoes in the afternoon; if needed, several times. Take it out at bedtime and put your shoes in the bottom of your sleeping bag during night.
Drying socks: Put them in your armpits (!) overnight.
Remember to take a shower afterwards...
I know it sounds messy, but these are army survival techniques... Learnt by experience. Works very well. Also: In cold conditions, having your shoes in your sleeping bag will make them warm and soft in the morning.
T-shirts/underwear etc.: Pin them to your backpack with safety pins and just start walking: Wind/sun will dry them.
Bring with you a string of rope and safety pins. Tie it up on your bed and hang articles to dry overnight.