You must have a different species of Cottonwood there. The stuff up here (we call it Cottonweed) isn't even good for firewood. It's brittle and branches break off just from snow accumulating on them. There's no way I'd try and make bed wood out of it. The fuzz covered seeds blow everywhere and the pods dropping on a car will ruin the paint.
Populus deltoides. Eastern cottonwood. Likely different than your "popple" or "quakey" trees. Eastern cottonwood trees reach an immense height and diameter.
The name cottonwood refers to the way the wood fibers stay together, making for a durable board for a big trailer. I certainly wouldn't recommend it for our trucks.