Although I have a dryer possibility in my washing machine, I use it only for pillows. I do this, and it works, very very well.
My washer has a 1400 spin, I suggest this speed as a minimum more if you can.
Empty the machine, get an ordinary non heated but biggest for space you have clothes horse, or air dryer. Important it be fairly tall to accommodate long and drapy things euch as sheets and blankets etc.
Each item must be thoroughly shaken and flicked back into shape. Hang all tops on hangers, hang these on clothes dryer. Start with small stuff on the bottom, give em all a good shake and flick, pull into shape drape, not peg, on bars. Work your way up. When all smallish is done, hang sheets over the top. They dry completely in about 2 days. Relatively crease free. Fold and put away. For trousers I hang these on trouser hangers. Works for me, costs nothing. And no I don't iron a thing but I could I ago e hubby's shirts still need s going over.