Tiny houses...on wheels....what a brilliant concept! I think they call these RV's.
The used market is rift with liveable camper vans for under $5000. I paid $3500 for one some years ago and lived in it successfully for over 10 years. I had a stove, 3 way frig, stanless steel sink and a porta potti. It could sleep 6 in a push and if you were discrete could park it anywhere. For showers I got a pass to the Denver recreation centers (<,$200) and used their showers. This is totally doable although perhaps not as "Ironic" as as small house.