It may be interesting to find out what your theatre/venue do, about covering the stage floor, either normally or for different productions?
Especially if it is say a polished flooring & the group is not allowed to paint it or even use any staging screws.
We at Phoenix Theatre [Hamilton Hill] have always solved the problem easily each time & painted the deck to suit the production. But for others groups with this problem, your posts & ideas on this topic might help them out!