I don't know how cold your weather gets but here in Kentucky we have been free ranging half a dozen layers on about an acre of land. Supplement feed consists of spoiled rice and other kitchen scraps. Perhaps we are lucky, but between their open-air 'coop' box which they have free access to (dogs keep away predators) and their ability to forage the grounds, we have found they lay close to as well in cold weather as they do warm. To give an example of this, recently a 5 day cold snap hit with accompanying snow and 0-10F weather while we were on a 5 day vacation. One dog stayed (we had a neighbor leave out food) and protected the ladies and when we returned we found about 25 eggs in their nesting box.
Having had chickens for a number of years like this, I have observed that they are great foragers if given the chance and readily live off the land with some scrap food supplementation. There are coyotes and coons out here, sometimes we hear huge packs howling at night, but a disciplined LGD and free range has been wildly successful so far. It's easy to over-complicate things and, at least with the ladies, we find that allowing them do what they love to naturally do comes far easier than any sort of fenced or cooped/heated/artificial solution would.
Just food for thought.