Money is no concern, hmmm, I would try to build a self sufficient heating-cooling-air flow house. The house would have "brains" - that is, computer programs where house systems communicated with each other and adjusted to the changing environments. This is kind of what is done in Germany with those passivehaus designs.
I would start with an open floor plan, and have the house passive solar thus collecting the southern sun. Also I would like to have some sort of system that opened thermal shutters to several south facing windows - ie when the sun's out windows are letting sun rays in and when the sun goes down these shutters automatically cover the windows.
Next I would have a huge steel tank centrally located in the house, like half buried and the other half in part of a stairwell. This tank would hold hot water. Hot water would be used for radiant heating via a slab or water radiators.
The hot water for the tank would come from 3 sources, 1) roof mounted water solar panels, 2) a geothermal system, 3) water coils inside a masonry heater. The "brains" would tell me when to burn wood, and would know when to collect energy from the geothermal and water solar panels.
I'ld also like PV solar panels and a wind mill integrated into the "brains" for electricity. So heating would come from passive solar thermal mass, masonry heater, and water radiant floor or radiator system. And a "brain" would automatically control the heating requirements of the house, and the "brain" would be able to tell me when it wanted the masonry heater fired up for internal house heat and to send hot water into the tank.