I found a place! I recommend using this board :). See everyone this weekend--Rachel
I hear from an architect that you've used all the right words to entice architecture students. What about University of Buffalo? I'd definitely be interested in helping this happen.
What about the automatic dishwashers like in many restaurant kitchens? I wonder if the mechanisms they use could transpose onto what you're imagining. One person moves trays of dishes into and out of one, once the door closes the water, soap, etc. turn on and clean everything in 90 seconds (sanitize too with super-hot water). I know just water is probably all you need, but could be another starting idea to work from.
Also, seems like a washer might need to accommodate different shape/size bins over time–round, rectangle, milk crate, etc.