My strategy forever is to wash all my shirts, put them in the dryer on low for 5 minutes, then hang them all up in a doorway overnight. My clothes last much longer this way and never get wrinkled.
As long as that doorway isn’t made of wood,
or have any cracks for air to enter the door or doorjam,
that 90% relative humidity should be no problem!
Do you live in a liminal hall of doorways? LOL
Folding drying racks come in several shapes and are very affordable.