Build on Your Lot in Arlington Place! Arlington Place offers the serenity of the Neuse River with amenities close by. The natural beauty of the land and water views at Arlington Place are unmatched in this area with average elevations at 21 feet above sea level. Arlington Place is in Pamlico County in the town of Minnesott Beach. We’re perfectly located on the Inner Banks just minutes from Oriental, New Bern, Beaufort, Morehead City, the Intracoastal Waterway and the white sand beaches of North Carolina’s Crystal Coast.