I'm in China right now and saw a first with a squatty potty - an automatic flusher!!!!
If you practice, you can bring your pants and underwear to the front and not get anything on it. Also, practice with your purse/bag on you - I've never seen a hook on the door.
For the soap paper, look in the travel/trial size aisle at Target. Crabtree & Evelyn also have these. I always carry a pack of the antibacterial Wet Ones in my bag as well as purell.