It's fun to find creative storage solutions.
Laundry: Adds up, has to be stowed somewhere. We use a black, very lightweight, cheap mesh square laundry basket from Walgreens.. Flat but pops open in a second. Fits in our wardrobe closet, very handy for toting the clothes to the laundromat, too.
Dish Drainer: I found a 12" square OXO brand silicone drying mat that fits perfectly on our limited counter space. Doubles as a de-rattle aid because it lives under the metal stove cover. Serves as a hot pad too up to 400+ degrees.
Cookware: I've winnowed this down based on what we really use. Found a square sauté pan at TJ Maxx with a handle that folds flat against it for storage. I wrap it in bubble wrap and stow it under the sink vertically next to a plastic bin that has a saucepan etc.
I also keep a square Pyrex dish with little handles and lid in the microwave, padded with our extra dish towels and tablecloth for the picnic table.
You'll find various size plastic bins at dollar stores to suit you, your stuff, and your cupboards. One is just the right size for vitamin and other pill containers for us. Another is the size of a notebook, and serves as our "office" with misc. supplies and electronic cords. A see- through plastic zipper bag holds my small camera gear - charger, cards, etc.
You'll want quick-dry towels. We have used Rick Steves travel towels (extra large) and also have found a low cost option. Go to an automotive or dollar store and get large microfiber yellow car washing towels. Sew a few together to whatever size you want. They are absorbent and dry very fast, launder well.
Must take: a fire starting clicker (Bic)...to light your propane stove and for the campfire.
Gail, those hangers are a smart idea. Got to go find some.