Good write up. While I wouldn't advocate keeping them out of the water any longer than necessary, I've seen Sarco's at low tide lying on the rocks totally exposed to the tropical sun for over an hour before the tide came back in, none the worse for wear.
With a bigger coral, you can just cut a ring out of the rim and treat them the same way as per your method. Getting carried away with fragging a big one can foul your whole tank with their mucous.
I noticed it leaning over so placed a rock under it. When it attached to the second rock, I cut in between the two and produced this