That’s what my run’s like: a very open 2x4 frame wrapped in HWC, and I want to add a polycarbonate corrugated roof over at least half of it.I'm also on North Georgia. About half of my flock likes to roost "outside" in the run, which was always fully enclosed (2x4 frame with 1/2" hardware cloth). I ended up adding a corrugated polycarbonate roof and a piece of corrugated plastic on one side to act as a wind break for the roosts.
How complex did you make the framing for the roof? I don’t feel that the run frame can hold typical roof framing.