I feel for you, HA is the worst, Battling it can test your patience for sure, You can manually remove til the cows come home but you've got to address the Phosphate issue or it'll return as fast as it came. I'd remove all the rock and treat it out side of the tank, in bins if possible, no lights, It's a big job, This is one reason of many why people pack it in and start with new rock, I'm not saying that's the way to go but I know people that have.
And D, An ATS is a great idea, A tad bit late but still a good idea, I've run them in the past and they work well, I've used Phos Guard in the past as well and it works great, only thing it should be used with Live Rock only no Corals, So put the rock in bins and run it but test often. It is not a long term application, once the PO4 is gone run GFO 24/7
Phos guard By Seachem, I say not a long term application because this is one product that is a bit subject, It may introduce Aluminum into your system, I used it when I started my previous set-up, I knew the rock had PO4 in it and I treated it with Phos Guard sparingly, testing often with the Hanna Phospherous Checker until levels got to .0003. It worked great in about 2 months and I never had any Algea in my system afterwords. I'd use it again for sure. Riley? I gave you some but as I said the rock should be removed from the tank and treated in bins.
I can see you saying NO way man. But that's my cure.