Stone over concrete is generally a good idea in areas where soil stability is an issue. Many contractors will try to steer you away from that, but, it is far more stable when done right. I happen to like dark granites for outdoors, but, in Texas, that is probably a bad choice. You cannot avoid cracks, the earth always wins. You can manage them, or plan for them. I don't like soft based stone for kitchen areas, as settling or a loose stone can spell disaster when handling hot liquids.
If it was my kitchen area, I would go with concrete, with a medium tan integral color and medium broom finish, and score it tight, like 30" centers in a diamond or free arc pattern. This is a nice, hard, durable, easy to clean surface.
me: I don't drink anymore
Yelonutz: me either, but, then again, I don't drink any less