Hello Craig,
if it is C. viridis it cannot look like the picture linked with the red sceleton as C. viridis grows and spreads flat over your rocks and others.
For removal you can do as you wrote. Instead of tearing away a large piece - you can also - if you can access - cut between the two encrusted stones with a knife. Then take out the stones and scratch the coral off with a knife.
regards
Markus
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