It's nothing but posts at the moment, but my new coop is going to be an open air style: https://www.backyardchickens.com/threads/large-open-air-coop-in-central-nc.1443812/
I fell in love with the open air style following this build from Texas...
Where are you located?
If you're in a warm climate, your lovely, roofed run could be turned into an open-air coop by adding a few wall panels on the windward side.