Sounds like you guys are going in the right direction for peace in the flock.
I'm in North Alabama. My chickens don't have a traditional coop, and being in Florida, you don't need one either (nice to have, but not a requirement due to weather, IMO). It's hard to keep traditional coops from turning into ovens during the day, due to heat and humidity. We have a covered open-air run (greenhouse frame covered in hardware cloth) which is predator secure, and they perch in it at night. At 15 square feet per chicken, there is peace in the flock. Less space than that, and we have issues with feather picking and bullying depending on the individual chickens' personality. The ISA Browns were the worst offenders, picking on our starlight green eggers and prairie bluebell eggers.
https://www.backyardchickens.com/threads/overhead-coop-fan-running-at-night.1584826/post-26937097
For our second coop, I put up a dog kennel, covered it with hardware cloth, including the top, gave it an apron, and covered everything with a tarp. Make sure the tarp does not collect water at all, and is well secured, and you're good to go, a predator secure chicken coop/run.