North River Storage Share: Storage North River Storage Visit Website 10928 US Hwy 31 Tanner, AL 35671 (256) 232-7760 Hours: Mon 10:30 - 4:30 Tues 10:30 - 4:30 Wed. Closed Thurs. 10:30 - 4:30 Fri 10:30 - 4:30 About Map About Self Storage facility. With 24hr access and rentals available. Climate and traditional storage. Plus parking lot. Directions 2 miles south of Tanner crossroads What's Nearby? Distance: 5 10 15 20 25 50 mi.