My coop/run combo sounds like what you are thinking of doing. 24'x24' deep bedding in all of it. I have half under roof and 12'x12' of the roofed section with walls on the N,W,E side and open on the south. The solid walls are 7' high then about 2' of 2x4 welded wire
fence, then the roof. All the heat goes out through the top and it stays cooler than otherwise in the hot humid summers. I do not provide supplemental heat in the winter and everyone does just fine.
When I first built it, I had a 6' section in the 3 sided part that I put 3 roosting bars. I do not think a chicken has every roosted on the bars, they fly all the way up to any open rafter or horizontal tie and roost there. I always get a laugh when I look over at the roosting bars. They have turned into a ladder to get up to the highest possible parts of the coop.