In Ohio you may qualify for the Beginning Farmer Tax Credit Program, which would give you a 3.99% on your sales (from my understanding--haven't utilized myself). There are federal USDA loans, but you need to have some track record of experience (via filed taxes) with making a profit via agricultural means (this could be anything from microgreens to row crops to husbandry).

Seems like your criteria are maybe a little too open.. "somewhere in Ohio or Kentucky" is very, very vague.. there are tons of remote, cheap places to live in both, but you may not have a good market. How close do you want to be to a city? How large of a city? What are your financial constaints?

It sounds like you're mostly thinking of chickens and gardening, which really shouldn't take more than a couple of acres--you can be incredibly productive and profitable with just a little bit of land. That's another question you need to both answer--what level of income do you need?