serious green water "needs fix"

[Reef Puffer]

so i have this really bad suspended algae bloom that i cant seem to get rid of. the water changes just dont cut it, im about to black out the tank (a real pita imo) but will that even fix it or will it come back with the lights on? a little history on the system: my lights were on a bit long (and maybe 1 bad bulb) but never really caused much issue. phosphates are 0 nitrates are 0 (witch i found a little odd?) nitrite 0 and my 3 different ammonia tests read 3 different levels so im not quite sure there? but everything seemed good (altho i hadnt done a water change since i moved my tank 2 months earlier). 30% water change = nasty green water the next day. lots of large or small water changes and alot less light seems to have done nothing to help the situation. has been over a week now and hoping black out will fix it? just seeing what others have done in the past and what truly might help. any ideas, thanx