Bigredfeather - red is a lovely color, is it not? - I guess we will both find out together this winter. Although I am in a tad colder growing area, the newest charts show my land in 5b as well. I never rely on it as I remember when THEY said I was in zone 4 and I haven't moved.
Anyway, I have much the same intentions of growing inside my garden shed this winter. I do know that before I installed the windows I went though a winter with only plastic over the south side. Rusty's water froze most nights and was liquid by about noon on all but the cloudiest of days. This year I was planning to use a couple of heat lamps.
I banged up my hand terribly - it's all black and blue - on Saturday from drilling the holes for the electrical wire I plan to run. I was hoping to get the building insulated yet this fall, but now doubt that it will happen. Still, I've been cleaning and moving and rearranging all the gardening things to have room for growing.
With the winter sun hanging low in the southern sky, I figure my 16 feet of glass should let plenty of light in during the day. So many of the cool weather veggies have no problem with light freezes, I think we have a chance. Good Luck with your plan!