I'm not sure how old the friction drive I have is as it doesn't look original ,it looks like a replacement so if it's an old replacement then likely has asbestos.
I looked at all the friction material ages ago but the problem was finding one that was suitable for an aluminum wheel as you can't use normal brake lining, I'm sure some manufacturer will have Ceramic or Composite Materials that will suit but it can't be cheap going by the replacement change over part.