All In the running for the good house keeping awards. LOL
No doubt!
I got a remnant roll of plastic coated paper (think freezer paper but lots heavier, almost like poster board) from a friend who works at the local paper mill a few years ago. four foot wide (I think actually almost 4 1/2) and I just pull off a couple strips of it and put it on the floor under the fleshing beam. I have a fleshing beam attached to a hinge on a workbench in a little shop with a wood floor, so I can staple the paper down if I want but it is stiff enough I don't usually bother. When not in use I can pull the pin on the hinge on the bracing leg, and fold it up against the bench out of the way. Come summertime I pull the pin on the hinge at the base of the beam (attached to the base of a bench leg) and take the entire beam and put it up in the rafters out of the way until next fur season.
Built a room in the back of the big shop a couple years ago where I do everything else instead of being crowded in the little one with fleshing beam, two freezers and everything else (mostly nonfur related) that is in it. 12x20 main room that is totally insulated, white painted walls, 4x8 table on casters so it can be moved and two twenty foot 1/2" pipes hanging from the ceiling down one side two hand pelts taken off the stretchers until after nose and ears are hard. 6x12 room attached that is also insulated and just has a curtain door to the main room where I hang the fully dried skins. Beavers are just stacked on cardboard. Electric 220 wall heater, I used wood heat for a lot of years but I like being able to dry at a set temperature without monitoring the fire constantly. I always used on oscillating fan, I can oscillate it, point it directly at a hide I want to dry faster, or point it away from hides I don't want to overdry while I am gone, but still get some air circulation. More versatile than a ceiling fan IMO, besides I would undoubtedly be not paying attention and removing hides from a stretcher or turning them I would stick either the hide or the stretcher into the ceiling fan!

Oh yeah, the fleshing shed isn't heated, so I don't have to worry about getting rid of the fleshing scraps all the time like I would if I was fleshing in the room where I have heat for drying hides. They can just set in the bucket and until it is full and I have to dump it.