Drying stresses the fabir much more than washing, that's for sure. Most dryers have an "air dry" setting meaning it uses a gentle tumble and does not use hot air. That's the way to go for clothing. Use heat for stuff like towels, sheets, socks/underwear, and to fluff pillows. Hard to imagine not having a dryer, it will simplify your life the same way a dishwasher will.
Also, never use fabric softener, scented detergents, and have one detergent specifically made for dark clothing. And if you have a Trader Joes, get these for towels/sheets: