Zebrasoma and Acanthurus tangs will NOT eat bryopsis algae. The lettuce slugs will eat it but will not eradicate it. I don't recommend them. Most urchins and rabbitfish won't touch it either, so what can be done?
First of all, manually remove as much as you can while siphoning the associated water out of the aquarium. Repeat this as often as necessary. Once a week is not too often. As you gain control over it, the time between siphoning and water changes can be extended.
As for biological controls, I recommend two animals. The Fiji Rabbitfish, Siganus uspi, WILL eat bryopsis if it's hungry enough. This doesn't mean that ALL rabbitfish will eat bryopsis, because they won't.
Halloween urchins (Tripneustes gratilla) will eat bryopsis as well. Don't be afraid of urchins in your reef aquarium. Tripneustes gratilla doesn't grow much larger than a tennis ball and is a great herbivore. They will NOT eat corals. They may graze on coralline algae, but it will return stronger. Some studies suggest that they actually help coralline algae by removing epiphytic algae from its surface. I'd suggest stocking these urchins in densities as high as one per 10 to 25 gallons, depending upon the severity of the problem and size of the urchins.
Lastly, I'd suggest using one of the granular ferric oxide hydroxide PO4-removing compounds on a full-time basis.
To sum it up, you need to do ALL these things to defeat bryopsis algae. There are no shortcuts or magic pills. Shocking it with abnormally high pH levels is dangerous, not recommended, and probably ineffective. If you have bryopsis on just one or two rocks, I'd recommend removing those rocks and either disposing of them or breaking off the section with the bryopsis by chisel. Also, don't add bryopsis to your refugium. It WILL migrate into the display tank and become a pest. Bryopsis is a scourge and shouldn't be treated lightly. Don't ignore it when it first appears or you'll be sorry in the long run.
Greg