I was searching Yahoo for RV Sized Washers and came across really small combination Washer/Dryers which are perfect for RV's. These units operate on 110 VAC and use 12 to 16 A of current. They are non-vented, meaning that no dryer vent is required to be drilled into the precious hid of the A/S.
URL/s to a couple of such sites are:
http://www.quietline.com/quietline-multiunit.htm
http://www.expertappliance.com/equator-appliances.html
I also found a nice how-to article here:
http://www.rvknowhow.com/washer.html
The price isn't cheap, the prices ranging from $600++ to $960 but is you are full-timing, this might make sense for you.