Any way to remove a plate-type chalice from a rock without breaking it?

[Butchy21]

So my tank has grown in a ton and I need to make some room for new additions!

 

I have a giant hollywood stunner chalice that is starting to shade out corals below- so I'm probably going to be selling it.  The problem is that it grows in a plate-like style and is pretty brittle.  Is there any way to get the chalice off the rock or should I just sell the chalice with the rock?

 

Similar question with my green hairy encrusting pavona-  Looking to sell to make space but it has grown over two touching rocks.  Any easy way to remove the pavona or do I just have to sell the rock with the coral?

 

Chalice is up top and the pavona is in the top left of the tank.

 

Any ideas would be great!