Don't know how relevant this is and I haven't seen this used in over thirty years, and the widespread use of central heating may have made the stuff very hard to find....but, in old tenements with wooden floors the hearth was built on top of beams which *could* burn out. In the 60's renovations a new insulation layer was cut and laid on top of clean dry timbers before the new grates were built in.
My dad was joiner and got a bit through his work. He had a piece of the padded cloth that my he would use on top of the burden boards in a dory so he had a safe place to brew up. I saw a family friend use a piece of the same stuff to light his fire in a woodland weekend after weekend and leave no sign on the ground that his fire had ever been there. They just called it 'Fire blanket'. I believe it contained asbestos and some sort of dense heat proofing. Central heating engineers might know of a suitable source, maybe a builders merchant.
Cheers,
Toddy