Brown algae is one of the easier algaes to combat. Otos eat it and its easy to remove also. Brown algae is usually found in low light tanks. I would just get some otos (1 per 10G).
HOw long is the extended periods of time? If you do not have live plants, I would just have the lights on when you are at home or something. In my discus tanks, I only have the lights come on at 3pm and off at 11pm instead of on in the morning some time. Shorter light periods will help keep algae from rapidly growing.