Clinton County is a rural county in south-central Kentucky along the Cumberland River. Known for affordable land prices, minimal zoning restrictions, and strong agricultural use, Clinton County is popular with homesteaders and off-grid buyers. County seat: Albany. Find serenity and affordability in Menifee County, Eastern Kentucky, with Frenchburg as its county seat. This sparsely populated county of around 6,300 residents is characterized by its natural beauty, offering secluded land perfect for off-grid living, homesteading, or a peaceful recreational escape.