So, my main question is what sort of of mood and theme are you wanting to present with this stone world.
If you watch any post apocalyptica most of those scene dressings are urban ruins and rock and sand. Plants are rare and treasured when they can be found. With a lack of vegetation, there is a greatly restricted supply of food, and there are correlations between the presence of trees and rainfall in a given area. Cut down the trees in an area and eventually the rainfall in the area decreases. So, that would be the desperate world where survival is an everyday battle against a vast and austere world, hard and brown. While rock is rare, in the Dune universe Arrakis is pretty much a dry rock and stone world. Again, everything is eventually going to revolve around the sheer lack of resources. Is water present in any amount, are there streams and lakes, or is everything locked up in underground reservoirs and aquifers?
Is your rock world dynamic or static? Are there volcanoes and earthquakes? A dynamic world has potential, it's growing and tearing itself into existence. The civilizations there are growing just like their world. A vast stone basic might crack, vent a huge plume of gas and steam before a sea of superheated water boils up and fills it. There is water, and now that it is free of the depths of the world, it can start cooling. Storms are big, volcanoes are big, and so forth.
Then there is the dead rock world. The seas are dry, the forests have petrified, and the ancient fertile plains have calcified while the rivers of old are now vast salt pans. Contrast with the post apoc world, the dead world isnt recovering, its never going to get better, and the sense of despair should be palatable, like being in a nursing home where the nurses are in their sixties and the residents are well into their nineties. The end is near.
