Any home that has stone, will give you a feeling of solidity. And today the stone doesn't even have to be real. You can use faux stone veneer.
These stones although heavy, are no way near the weight of real stone. They are manufactured and are fitted and put together with mortar. They come in panels which make installation much faster.
When looking at them, everyone will think they are real.
The faux stone veneer is not as durable as the real thing, but will take some abuse.
They also make fire rated veneer is also available for over the fire place.