Just my opinion but I wouldn't jump into that one at this stage in your tank. The tank is fairly new and the rock you put in didnt look that mature. The algae phase is pretty natural part of the full cycle and I would advocate that you just let the tank go through it. Keep it under control as much as possible, as it will likely take many months, but let it get through it.
If you were to add another means of nutrient export I would recommend you add a GFO reactor instead of carbon dosing. Its less risky then dosing imo and far less maintenance.
I use a gfo carbon reactor now but only run it when the lights are on. I did run it 24 hrs, but as I added more sps the nutrients in the water got so low that they started to lose color and were growing slower. I'd like to do away with the reactor altogether at some point but I too like to feed fairly heavy
Also what fish have you added to it, it had none when I saw it last?