Post Office – Dungannon, Cabragh – Opening Hours & Branch Details Post Office is prominently located at 230 Ballygawley Road, about 6.16 miles west from the centre of Dungannon. The branch serves customers mainly from the neighborhoods of Cabragh Brae, Gorey, Farriter, Mulnahunch, Drumlage, Fasglashagh, Coolhill and Cabragh. Hours of business for today (Friday) are 9:00 am until 5:30 pm. Here you’ll find the specifics for Post Office Dungannon, Cabragh, including the hours of operation, map, customer reviews and other beneficial information.