Clove Polyps w/hair algae - hydrogen peroxide dip?

[BigBabich]

I have a small rock with clove polyps on it. I want to bring it over to my new tank but there is almost as much hair algae as coral on it.
Can I dip the rock/corals/algae in a 3% Hydrogen Peroxide solution to kill the algae, or will I end up killing as much coral as algae?
Not saying that's a dealbreaker, they both grow like weeds.

 

[Coinzmans Reef]

It works for me, four parts tank water one part 3% Hydrogen Peroxide and around five minutes or less and remove as much as you can by hand and scrub algae only areas with toothbrush.

 

[Glenner’sreef]

Not “Blue Clove Polyps” right?

 

[BigBabich]

Not “Blue Clove Polyps” right?

They're pink and while rather pretty have expressed their desire to escape their rock island by trying to grow on anything that comes nearby.
I was thinking of mounting them to the back wall but I've realized they'd take over the tank inside a year.