The linen material you are looking for is a commercially produced material that is traditionally used to make linen napkins, and tablecloths, as well as aprons, and dish towels, for the restaurant industry. I don’t think you are going to find anything in the twenty two thousandths range, about eighteen is the thickest I’ve found. Linen doesn’t rot like cotton, It can be heavily bleached without damage to the materials integrity, unlike cotton which can be weakened by bleach, age, and sunlight, along with pressure from overly tight loads.
Hungry Horse