I enjoyed the humor in your post! You got Buckeyes? Or are you from Ohio? If the former, give me your opinion on Buckeyes, please! Either way, welcome to BYC. Deer netting can be bought in a 100' roll, cut in half to yield 200' and placed around any plantings by weaving fiberglass posts...
It gives me a lot of pleasure to hear about folks who are doing what they can with the land they have available to grow their own food. Kudos to you. You are an inspiration.
How big is your garden? My big concern with this plan (BTW, admirable plan!) is that you may end up with over fertilization. This can actually be more problematic than underfertilization. I did a quick google search and found this article...
Not my caged birds, but I'll let you in on a little secret. Chickens will do just about anything for a bit of scratch, especially if it's not an every day thing. I trained baby chicks to a cat carrier, and have trained adults and babies to a tractor simply by opening the door and tossing in...
My flock varies in size from 40ish (including chicks and cockrels in the summer) to 17 for the winter. I initially got chickens specifically for the benefit they would provide to my gardening. They are kept OUT of the garden during the growing season, and are encouraged to be in the garden...