As others said, heat is entirely unnecessary for chickens. I have had temps to -40F, and I get -20 to -30F every year. My chickens are fine. Chickens need a well ventilated area so that no humidity whatsoever accumulates. They need a draft free area to roost. I like flat wide roosts so that the birds feet stay on top of the roost rather than wrapping around. I use 2x4s with the 4" side up. The reason for that is that when the birds roost, they cover their feet with their bodies. The coop should be bone dry all the time. You have a large are so having water available in the coop isn't a problem, but I don't ever keep water in mine, only outside in their covered run. I would advise you not to bother making your "room in a room". Your birds will be perfectly fine without it. As a new chicken owner, it's very hard to take this advice, but I can tell you, in my experience, this is the best way to help your chickens in the winter. This book explains everything you need to know about keeping chickens in cold weather:
Open Air coop book
I built and use this type of coop after using several other kinds, and I will never go to another type of coop again. My birds are healthier and happier than ever. You will see that this type of coop has an entirely open front that stays open the entire winter. You don't need to move to this type of coop of course. Your barn has plenty of good open space and air for your chickens, but the other information in the book should put your mind at ease about your chickens and cold weather.
Best of luck to you!