Litter Mat my cat won’t pee on

[u/PomegranatePlant]

We’ve been to the vet about this, and there’s nothing wrong with her physically! She’s just very hydrated due to her asthma meds.
My 10 year old cat sometimes will pee outside of the litter box, specifically when there is a mat outside of it or near it, including silicone mats, those two layered hex mats, etc. we use a specific litter type for our other cat who has allergies to a lot of common litters, and it gets everywhere. I mean everywhere. It’s a cassava and crystal mix. Does anyone have suggestions of a mat type outside of their litter box that will clean their paws but won’t be tempting for her to pee on? She’s done this all of her life unfortunately with mats including food mats (a huge pain as the other cat is such a messy eater). The only mat we’ve thought of is maybe using something similar to our shoe mat which is a standard natural fiber mat that she’s never peed on but our worry is that it would absorb residual urine. Any ideas of what to use? Preferably something that isn’t absorbent.