There should be a bunch of articles in the forums about dosing H2O2, it really only affects single celled organisms, and some other types of algae.
Many combine it with blacking out the tank for 3-5 days. The only coral that shows displeasure towards it are zoas. They shut down pretty quickly after the dose. At the time I have 15+ different zoas frags/colors and a good mix of LPS in the tank, nothing was negativily affected by it.
The biggest downside is it wipes out your beneficial bacteria as well as the Cyano/diatoms. So it’ll need a jump start when your done dosing H2O2