you will take a risk with any LPS coral in your tank with angelfish. You are betting about 65% of the time the fish will be model citizens. the other 35% of the time, they will munch here and there, causing the coral to close up and eventually die if it does not open up enough to get light.
Now then, that being said. I know for a fact the lemonpeel angels eat corals for part of their diet. You will not be successful that that fish. Sorry. I have had four different flame angels, none of which even sneezed at a coral, let alone eaten one. I have had 4 coral beauties as well. half of them ate corals.
They target one coral at a time. Finding their preference for taste of the mucous on the fleshy part of the coral. Angelfish tend to like the meaty corals, such as frogspawn, hammers, torches, open brains, etc. They usually leave all soft corals alone with the exception of xenia and that is just hit and miss. LPS that are less "fleshy" such as moons, lobophillia, micedium, aleviapora, goniapora, etc, tend to be left alone. Button polyps will be hit and miss as well. Mushrooms, ricordias, and all SPS are OK with pygmy angels.
I hope this helped a bit. Each fish is going to be different. You take the risk but the reward is more than worth it. I have a flame in my reef tank at work and he leaves everything alone. Up to you. Good luck
-Doc