The mouse has decided to stay. For those who suggested fabric softener sheets as a deterrent, they didn't work. My RV smells like laundry and the mouse just ran right over them as he dashed around the floor.
I pulled out the kitchen drawers revealing a large open space under the counter all the way to the exterior wall behind the sink. The most noxious chemical I have in the RV is Lysol, so I sprayed it liberally inside the opening. He was next to it this morning.
As I was working, he boldly ran out onto the carpet from under the shelf on the desk. As I stood up, he ran back under the shelf. I sat down. He came out. I didn't want to keep playing this game so I stood up again and stayed standing. He peeked, crept out again and dashed to the bedroom. Great: now I won't be able to sleep tonight.
The guys in maintenance are going to bring me a humane trap and that should take care of him before he brings additional family and friends to join him.
No traps in maintenance but Beat came running out of the bedroom and went under the desk again to hide. At least I'll be able to sleep.
I told my friend about the lack of mousetraps and he immediately found a company to ship a humane trap to me here. He reminded me to release my mouse companion to an area where he can hide and feel safe. At least I know what to bait the trap with: peanut butter and cheese.
Update: this morning at 5:40, I heard the plastic bag lining the paper garbage sack rattling and realized I had forgotten to hang the sack off the floor on the key hook. I turned on the kitchen light and expected the mouse to run out of the fallen bag. Somehow, he had found a way into the bag without knocking it over and must have been nibbling on the popcorn kernels I had dumped there last night. I picked up the bag by the handles, opened the door and threw the bag outside next to the trees. Plenty of places to hide and feel safe in the bushes. Now I wait to see if he was alone.