Maybe this is totally different than what you have in mind, but I have rubber mats in front of my stalls and they work wonderfully.
They've been in place since last August and I have exactly zero complaints - other than wishing that I had more mats so I could mat the entryway to the enclosure/stalls too!
There's gravel under these mats, really crushed rock, then the mats on top. They're easy to sweep when it's dry and super easy to just ignore when it's wet (they stay pretty mud-free, even when surrounded by mud, and the rain pretty much washes them down).
I also love how not slippery they are. My mare is as close as you can get to being blind, without being 100% blind (legally blind? Haha), so things being slippery or unpredictable is a huge issue for us. Having mats down makes her stall 100% predictable for her.
Here's a picture:
In my case, the divider in the middle is removed during the day and this picture is taken from the entrance to both (the other side has a door but I only open one, the one this picture is taken from, on a daily basis).
ETA - my mare had had chronic scratches until this winter when I implemented this^ as her nightly stalling shindig. It ensures that her legs dry off overnight since there's no mud/water for her to sink into. She might get muddy in her pasture all day but at night, every night, she gets dry. :)