I put a new coop in recently and went with vinyl sticky tiles on the floor. They were super easy to install and a lot easier to handle and cut than a large sheet. I added some DAP flooring adhesive to amp up the adhesion.
How has this been working for you? How many chickens and what size coop?
Wish I had a good supplier for shredded paper waste I think it would be worth trying as a litter over the floor. Would compost really well. not dusty anyone try that?