Izzy, I'm having problems picturing your what you've described. Can you post a sketch?
-Blast
Something like this, cut a hole in the top of a bucket and stick the PVC through it, glue PVC together and hand crank it with the clothes and water and soap in it. Then rinse. You would need some type of pin on the bottom that the PBC could set in to hold the X frame centered while washing.

It would work better with some type of fins on the bottom X-frame, but that would add a lot of stress on the PVC.