I think your tiny coop is quite nice for two chickens. I would cover the top with Ice and water shield and or shingles. Where there will only be two I would insulate but be sure the is some ventillation so they do not get frostbite in the winter. Chickens are very destructive and will love all the places you have to perch. What I would do becasue it is apparent thaat you don't want your yard to look like hell, is get two, keep them in the coop and run, and only let them out to free range for an hour right before dusk a couple of nights a week as a treat. Mine only free range when I get home from work from 5pm until dusk. They are all happy and healthy
