Our setup is quite different from yours...
We place KC's litter box in the shower...have one of the boxes with high sides and a cutout in the front for easy access.
When we are in for the remainder of the night, Ron built a cover for our interior steps...the box goes there...to allow for easy showering in the morning.
We all do what we gotta do to take care of our feline buddies !
Ron & Kay n KC too !
2001 Scamp 13'
'KC's Little Box'
Jeep Wrangler TJ