@Bill I like the suggestion of 100% cotton on both sides of insulbright.
I recently had an iron skillet warming on an electric eye. It had nothing in it, but I felt it was getting too warm and I sat it directly onto a store purchased oversized pot holder that seemed to have insulbright on one side, fabric on the other.. I sat the skillet directly onto the insulbright side.
Two minutes later, I was ready to use the skillet and so I grabbed it to set back onto the eye, not realizing the insulbright had melted onto the skillet. Which meant the potholder was melted onto the bottom of the skillet and I quickly lightly tapped the potholder onto the eye.
Had there been no insulbright, I would have just suffered the loss of one potholder and the cotton would have left a bit of soot.
Took me 3 hours to remove the melted polyester filling, polyester insulbrite and polyester fabric from the skillet bottom and the stove eye.
I would much prefer 100% cotton. But lining both sides of the insulbright sounds like a good idea too.