There are 3 US Post Offices in Mccone County serving a total of 1,461 residents equating to 487 residents per post office. It's estimated that approximately 2,332 packages are handled across the 3 county post offices annually. McCone County is a county located in the U.S. state of Montana. As of the 2010 census, the population was 1,734. Its county seat is Circle. It was named in honor of State Senator George McCone.