I might add - since I practice desert beekeeping; I use corrugated tin wrapped around these hives as a sun shield, at least the ones in the hot desert. The mountain hives have the opposite problem.
Also - I first started with full 48" stud length hives, and now only use a 32" hive. The bees rarely filled the 48" all the way to the end and it simply harbored spiders and other pests. A 32" hive is still the equivalent of 3 eight frame deep boxes and can develop and enormous amount of bees if managed properly. You just super it for more space.
My 48" hives are monsters. They can generate a terrifying amount of bees - they are basically 4 deeps on their side.
Another benefit of a horizontal hive, at least for us rural folk, is that cows cannot kick them over and most people don't recognize them as a bee-hive. Now animals have lifted my lids off a few times, thinking they were a feed trough. You just have to make sure they are secured very well. I use bungie cords and hive straps.
Inner covers - I used to use them, now I use a two or three piece insulated split top cover. Sometimes I uses a feedbag for an innercover. The wooden inner covers didn't work out so well. I do use a piece of burlap as a hive cloth when I work with them - to keep the sections of the hive covered I am not working with. It serves two purposes here - it calms the bees (mine are "survivors" and can be quite testy) and it keeps the hot desert sun off the comb. The comb can melt in seconds and collapse if exposed to full radiant sunlight.