Can you just buy some clothes line at the store and tie it between two trees?
"Hundreds of years from now it will not matter what my bank account was, the sort of house I lived in or the type of car I drove... But the world may be different because I did something so bafflingly crazy that it becomes a tourist destination"
I like to put tension rods in my windows and hang clothes on hangars from the tension rods. If you have curtain rods already, that would work. I find they get musty smelling indoors unless you hang them in sunlight. I have also been known to use the backs of chairs. You can dry socks and other small items by clothespinning them to a hangar.
My neighbours put chain link fence around their land, which is uninhabited, and we have found it makes a great clothes line. I like to pin things right to the side of it so they aren't folded, and dry really quickly.
Works at a residential alternative high school in the Himalayas SECMOL.org . "Back home" is Cape Cod, E Coast USA.
1. the quintessential 'Hills Hoist': generations of kids got into big trouble swinging on these. Most people have them if their backyard is big enough. Also, throwing a tarp over it means clothes can still be dried in wet weather. Some entrepreneur also manufactured a fitted tarp so it could be used as a sun-umbrella or shelter tables of food during parties!
2. the lean-to design: two sturdy posts placed in the ground as far apart as you like. A timber cross-member bolted to each post so it can tilt. Then string two or four lengths of wire between the cross-members and pull tight. Clothes are then pegged to the wires - a large stick or pole can be used to hold one side of the wire higher than the other e.g. for large items such as sheets and towels. (The photo shows a fixed cross-member version, which isn't as good.)
3. a creative Permie version.
'Every time I learn something new, it pushes some old stuff out of my brain.'
I would get whatever is left of your line and tie it to whatever you have around (maybe drive a post if you need to).
That lacking, when I was in college I washed my clothes in the sink and dried them on the fire escape on hangers. didn't win any awards for brilliance, to this day I've never owned a dryer and know that was probably not the easiest way to do it, but it worked just fine for 4 years, even in the winter.
Here people often hang their laundry on a wire fence or on whatever is stable (and clean) enough to permit.
I keep some old rope around to put up extra clotheslines when I wash bedding, for example. Any old rope or even wire will do just fine.
(I love the image of the tree drying the clothes, but I imagine your clothes might end up blown clean to Arizona....)