I just finished going thru a broody (took several weeks in isolation). When she returned to the others, they attacked her as if she had never been with them before. Took several days for everyone to calm down, but order is now restored.
My coop sits on top of an 18” tall stand I built for it. Then I put a ladder leading into the coop. I guess that’s why I haven’t had a problem with them sitting on top of the coop. The birds only go in to roost at dark, and then lay eggs in the nesting boxes the next morning.
So I just saw your original post and the comments that followed. At some point, you showed a picture of a metal cage option. I live in VA and set up an 8 X 10 just like that a year ago, and put a Snap Lock by Formex small chicken coop in it. With the tarp cover over the cage, this has worked...