What type of angel are you considering?
I can only speak to my own experience, so take this with a grain of salt:
I would avoid any "meaty" or "fleshy" LPS corals.
If you do attempt this, you will need to keep the fish EXTREMELY well fed. I was able to pull it off with a majestic angel in the classroom aquarium when I was around to feed nori and PE mysis five days a week, in addition to the pellets that dumped three times a day via the autofeeder. Over the summer, when I couldn't spoil it every day with lots of foods, the angel went to town on Euphyllia and would nip SPS polyps.
Even if you are able to feed a lot and often (which have other implications for your system and the corals you keep), the fish may still destroy corals. There's definitely no guarantees here.
There's guys like Gary and RC user copps who have had great success with large angels in reefs, but it requires an amazing amount of dedication and the ability to "read" the fish as you experiment with what will and will not work.
Personally, I would never try it again with my tank at school since I can't be here 7 days a week year round.
Good luck!