If you keep the rock in a plastic bin with a
PH and heater, the rock should be just fine. You will also need to add small amounts of food once or twice a week to feed the bacteria and fauna. The trade off will be that without light, you will lose any coralline or other outward light dependant animals.
If you leave the rock out of water and it dries, it will become base rock. Which would be a waste
IMO.
As far as your tank water, you can let that go. Just be sure that the new water is well aged and aerated for a day or two and the chem match's the tank it came from.
Cheers
Steve