Hi Rabbi. Is alternating like this permitted (even without running tablecloth through clothes washing machine in between) based on tablecloth appearing clean of dairy-food based on quick visual inspection (and wiping/brushing off dairy-foods) before using that tablecloth for meat? Thank you Rabbi.
Yes. That would be fair to say.
But, Obviously if there a spill or other liquid type residue that would go through to the other side you would not be benefiting from turning it over.