Are my nutrients high? Nitrate = 5 and phosphate = 0.07?Everything sounds pretty good so I can't really think of an underlying issue. Maybe you can try to extend the period of your refugium to lower nitrates and phosphates. This should have an effect on the algae in the tank. Basically make your chaeto outcompete the other algae's.
I would also recommend to put al pumps of when feeding. By doing so you can make sure al the fish eat the food. Broadcast feeding also feeds your vermetids and some food will break down causing higher nutrients. Vermetids are a pain, I'm battling them right now as well. I had a yellow wrasse in the past who ate them, but my current one doesn't. Bumble bee snails seem to eat them as well, so might be worth getting some of those.
As for CUC it might be more effective to get some algae grazing fish like a foxface or some tangs. I've heard foxfaces also eat bubble algae, which would be a bonus in your case. In addition I would also get a variety of snails to eat the smaller algae and in hard to reach places for fish.
I hope all the information in the thread will help you battle that algae! Good luck and keep us op to date