Ask yourself this...
If you woke up one morning to find your flame angel ate 3 or 4 of your favorite LPS, would you:
A) Be pi**ed and want to get rid of the fish so that you could prevent the same from possibly happening to your other LPS?
Or,
B) Would you prefer to replace those losses ... and any others ... with corals it's much less likely to eat?
If your gut tells you A, then best not to try it as your corals are more important to you than an angel.
If you strongly feel B would be your reaction, then the risk will likely be worth it.
Bottom line: if you go into it hoping to have your cake and eat it too, your setting yourself up for a high likelihood of disappointment and frustration.
But if you go into wanting the fish and knowing you'll very like lose some corals in return, you won't be that upset when it happens because you'll have already made the decision it's worth the sacrifice. And if you just happen to get lucky and not lose any corals, well then it'll just happen to be an extra cherry on top.
