Any possible way to do flooring before drywall?
Drywall hangers and finishers are notoriously careless, and if you can get a crew to respect your wishes on protecting the floor, you need to teach the rest of the world how to do it.
If you can afford it, you could tape down sheets of the cheapest hard board product that you can find, and take it all up later. But this is no guarantee. I think they could still find a way to gouge your floors.
"True eloquence consists in saying all that is necessary, and only that which is."
François Duc de La Rochefoucauld