I once saw at a textile surplus store a black, flat mat fake-leather cloth. It had no brush-direction, thus gave no marks after wiping.
And even had no odour.
It was a bit on the expensive side, thus I left the store to calculate how much I really nededed. A few days later it was gone...
I never found that material again, even no traces. Even after inquiring on it.
But such stores are a good place to start looking as they got a variety of materials, for different uses.