How do you run ducts for heating and cooling with slab on grade construction?
...radiant heating systems.
Cooling is a different matter, some people put in air-to-air heat pumps cooling, and radiant cooling is something of a contentious topic but can work, as long as you don't 'over' cool the floor to the point where you are creating condensation.
Heat pumps are a great idea as you mention, you ca...