Mike,
I am building an off-grid house with solar power and geothermal. I installed the solar system myself 2 years ago and it has been working great. (Sharp panels, Outback inverters & mppt, Rolls Surette batteries) Only 5Kw of panels are on the roof, but I will be increasing to 7.5Kw within the next few months (there's enough room on the roof for 10Kw). I recently ordered two 2 ton geothermal units (ground source heat pumps if you will). They are two speed units manufactured by Water Furnace. I hope the installer will have them done within a month or so. I will write about that on my
blog. We are not yet living in the house, but we have a large fridge, a large upright deep freezer, and an 8,000 btu window unit (and this computer I'm typing on!) at the house site running on the solar system now.
Off the bat, I know it will not be feasible to run both heat pumps flat out during the night (their combined consumption is about 3.2Kw - my batteries would be nearly dead the next morning). In fact, it is probably only feasible to run one of the units (for the bedrooms) at half speed during the night (0.9Kw) if I've had a sunny day and anticipate a sunny tomorrow. I plan on rigging some sort of automated system to turn the heat pumps on only full blast when there is available solar power. Timed heating and cooling is not a big issue for us, since our house only gains or loses 2 degrees F within 24hrs, regardless of what the weather is doing outside. (R24 SIP walls, R50 ceilings, lots of thermal mass) With 7.5Kw of panels, and an automated system to turn on the heat pumps (4 ton peak capacity) when the sun is shining, I have calculated that I can produce the equivalent heat of $100 worth of propane in January (Jan is not a good month for sun in KY). This will not heat our house entirely - the balance of the heat will come from an outside wood furnace, circulating hot water through radiant tubes already installed in the floor. With the heat pumps, I hope to keep the house cool in the summer and not have to light a fire in the fall or spring (here in KY).
So to answer your question... by all means use a heat pump of some sort... whether it be ground source (geothermal) or air source. It will multiply the electricity from your solar panels by a factor of 2.5 to 4 (above and beyond a simple electric furnace), depending on which type of system you install. The $ payback of a ground source vs. a air source heat pump is not very compelling, even if connected to solar power and thus paying more for electricity. The equation looks better for ground source though if you start trying to run Air Conditioning from batteries. I think that your biggest issue, with 15Kw of panels on your roof, will be how to use all of that power when the sun is shining... or how to store it for later. When your batteries are full, the battery chargers will shut down and your 15Kw solar array will be a giant paper weight. This happens to me more often than not
(forgot to mention, the heat pumps will be closed loop, with the loops installed in vertical wells)
a link to my blog if you're interested