To be a "free-range" or "pasture-raised" chicken you simply need access to the outdoors. So, these animals are kept in the same cramped, feces-filled hothouses that the "budget chickens" are, but there's a tiny hole in the side of the barn where they can access a tiny bit of grass. That's it.
There is no incentive for these companies to do anything above the bare minimum; you will never find a large-scale egg supplier that raises chickens in the idyllic environment you may picture in your head.