Of 66 counties in the Mount Rushmore State, Perkins County ranks second by size (2,889 square miles). Perkins County is in Black Hills & Badlands South Dakota. Recent Land Network data totals about 1,000 acres of undeveloped land for sale in South Dakota's Perkins County, which is valued at a combined $740,000. Browse all Perkins County undeveloped acreage for sale on the Land Network to find your next commercial property or land investment. The most common type of land for sale by combined acreage in Perkins County is farms.