Swain County Settlement Act of 1993 - Directs the Secretary of the Interior to complete the road along the north shore of the Fontana Reservoir, North Carolina, pursuant to a specified 1943 agreement with the State of North Carolina, the Tennessee Valley Authority, and Swain County, North Carolina. Directs the Secretary of the Treasury to pay a specified sum to Swain County in settlement of claims against the United States arising out of such agreement. Authorizes appropriations. Requires the Secretary to allocate funds and personnel to place a suitable historical marker at or near the approach to the Cherokee Qualls Reservation at Soco Gap, North Carolina, in recognition of Soco Gap and the contribution of the Cherokee Nation to North Carolina and the United States.