JHC, You probably are talking about Phenolic?
I think that is somewhat hard.
The UHMW would be great for wear resistance, but as Hog said it could mar the wood. It's used for heavy duty dock and boat bumpers.
Hog, I looked at the website you provided and you could get one of the rubber sheets and perforate it yourself. I would build a form that had nails/tacks on it every 1/4" or so, and then just press the rubber sheet on it to poke the holes.
Just remember, the softer and tackier it is, the quicker it will wear out. You'll need to determine the best hardness (durometer) that offers the best combination of properties.
I'm surprised there isn't an industry standard perforated sheet?
Google "perferated rubber sheet"
Call any custom rubber sheet manufacturer. They may offer it pre-cut.
Good luck.