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. Unearth value in Martin County, Eastern Kentucky, with Inez as its county seat. This less populated area, with around 11,000 residents, presents expansive tracts of land rich in natural beauty, ideal for those seeking seclusion and a connection to Appalachian landscapes.