Something like this maybe? http://thecitychicken.com/newhenhouse2.jpg Our shed isn't exactly like this one but it's one that just uses a shed & no run.
or this? http://www.motherearthnews.com/~/me...ver Shed-to-Coop Conversion/backyard coop.jpg
You're in Alabama so the second conversion would be ideal. Easy too! Just remove the siding from two sides and replace with hardware cloth. Fixing up a building is almost always cheaper than starting from scratch. Maybe if you posted a picture of it so we can see what you're working with?
Not sure why you need to "keep an eye on them". So no baby monitor needed.