If it was me, I wouldn't bleach the rocks. I have a 210, with (2) 40 breeder sump, 20 long RDSB. Roughly 270 gallons liquid+rocks (sump/refuge only half full, 310 gallons glass capacity but again, sump/fuge only half full normal operation), so maybe 220 actual liquid water in the system. I've gone through algae blooms too. What I've done to combat it, I change water, and clean fuge, scrape glass, and when it comes to sand, I suck off the top 1", and add the "live sand" that's wet in the bag to replace. Yes, causes a "mini" cycle, but ends up looking better. I change about 80 gallons to do this (using a tube sucking all crap I can into 5 gallon buckets... lots of time and work...). Then make water again, and repeat a few days later. Stuff looks mad, yep. But, after 3-4 times, then let coast a few weeks, it seems to stabilize. On the second round, I use a gravel cleaner and suck lots of crud out of the sand bed. I've gone as far as sucking the sand out in an area, and replacing with new "live sand" in a bag, the stuff with water. Using MJ1200 for the rocks helps too. It's a lot of elbow grease. Maybe 4-6 hours each round. I don't have much coral anymore (sold/gave away, maybe only a dozen types left), but I have anemone's that are just as demanding as coral, if not, more delicate. They didn't skip a beat. Fish were all fine.
I normally don't use a filter sock, but when I'm in "combat mode", I use one to catch all the floaties/dust. Only "filter" is skimmer, and occasional filter sock. No carbon, no reactors. (2) 2-part dosers. That's it. Bare bones.
One thing that caught my eye (your other post), when I've used pellets/dry food of any kind, I end up with issues. Frozen people grade food seems to be the best, (raw shrimp, scallops seem to be best) just what I've noticed with my stuff.
I know how it feels, but I'd try manually cleaning with large water changes first, before using bleach. Years of bacteria in the rocks isn't something you can buy. Removing all the crap that's built up in the rocks and sand takes work. Best of luck, I know what it feels like. Just another's opinion, looks like you've tried lots of them, just sharing what I've done with my own system, like I said, I know how you feel....