Between 1973 and 1978, the county road carried a state highway designation and was maintained by the Arkansas State Highway and Transportation Department (AHTD).
The designation follows present-day Columbia County Route 85; beginning at AR 98 in the unincorporated community of Atlanta in the Piney Woods of South Arkansas.
AR 344 ran east before curving south, roughly paralleling the Big Carnie Creek through a rural area.
State maintenance ended at the Union County line less than two miles (3.2 km) from the Louisiana state line, with the roadway continuing as Atlanta Road under county maintenance.
[1] The route was decommissioned as a state highway and returned to county maintenance by the Highway Commission on June 29, 1978, at the request of the Columbia County judge as part of a route swap to extend AR 98 and AR 355 within the county.