I could really use help with out-of-the-box thinking!

My sweaters are unworn for 7-8 months of the year. I don't hang them, so they sit in their bins, neatly folded, and acquiring some fairly impressive fold lines, all those months. When I pull one out, unless it's really heavy it's thoroughly wrinkled with fold lines, including the sleeves. Sometimes when desperate I'll spritz one with water and throw it in the dryer for 10 minutes; but that hasn't worked as well in my dryer as it used to in my parents'.

I'm good at ironing and resigned to ironing cotton blouses and poplin dresses; but I'm going to draw the line at sweaters. About the only way to keep them wearable is to "store" by throwing them flat on the floor or draped over something. I also have a couple of sweater dresses. I love them and can't stand the thought of bundling them into small bins; but no other solution occurs.

Any ideas? It's fully sweater season here, and I've only worn 2 out of a collection of 12 or more. I would love a low-maintenance solution.