For nutrient export, fast growing macroalgae (based on my reading online) would be Chaeto, followed by Ulva and Gracilaria. Caulerpa would also be very fast growing, but considering that it can "go sexual" and wiped out my last reef tank when the spores regrew everywhere in my display . . . I think that Caulerpa is the devil and has no place in a reef tank. I realize that many will disagree with me on that, which is fine. I should add that it was in my display to begin with, and I did not prune it.
I have Chaeto and Dragon's Breath in my refugium, and Dragon's Breath in my display because Dragon's Breath is cool. It also grows and needs trimming, but I find it to be very well behaved. It takes a while to attach, though.
I'd love to get some blue macroalgae as well for the display (Ochtodes or Hypnea), but the one time I added Hypnea my cleaner shrimp and hermits literally annihilated it. I'm taking about 2x4" pieces gone in under 24 hours. One scrap lasted a little over a day, which is my record. I've read that Ochtodes is harder, so hopefully it's more resilient compared to my crustacean crew.