This doesn't answer your question...but maybe you won't have to give up the carpet idea.
I much prefer carpet to a hard floor, and have made it work for us. I cut a remnant of good quality carpet to fit exactly onto the floor of our boler
. It even tucks under the door for the porta potty under the front couch.
When necessary I give it alittle sweep. When bad, I pick it up and bang it against a tree. If it gets too muddy I let it dry out in the sun. And at the end of a long campout I hose it off, or just let it dry really well, and vacuum.
It has an all over pattern which hides stains, and a low nap. I can not remember where I got it, but it has the look of a hotel lobby carpet, which is probably why it is indestructable.
Some kinds of carpet are much easier to cut than others, and won't unravel. Some are impossible to work with. Good luck,