Bacterial Overgrowth in Fishtank

Does anybody have any idea about how to treat an bacterial "algae" in a Fishtank with homeopathy?
The bacteria is called Cyanobacteria, or Blue-Green Algae. It's not a true algae, rather a bacteria, caused by an outside pollution, in my case. (I had purchased some contaminated plants a while back).
Google tells me my options are aggressive water changes(done that), turning off the lights for at least three days, then more water changes, and a course of antibiotics which will wipe out the beneficial bacteria in the tank as well. I really would like to avoid that, and I can't very well turn the lights off for that long since I have a heavily planted, high intensity light-needing live plant situation.

This bacteria has the ability to fix its own nitrogen levels, and feeds off of excess nitrogen and phosphate levels.
Any suggestions for a possible remedy to help would be appreciated!!