Notice the A7 has a 120vac outlet on it's back-panel. The manual warns not to exceed 1 amp.
Seems like a good place to plug in a run-time timer...
But, another idea popped into my head..
What if you plugged in a GTI? With a 200w PV panel connected?
http://i46.photobucket.com/albums/f1...Solar/l005.jpg
Might give the A7 some help during the sunny parts of the day...
If AC power out of the GTI remained
less than 368 watts, it wouldn't feed power back onto the grid (not legal in some places)..
Since the A7 would consume all the PV power provided, and shut down the GTI, when the thermostat opened the circuit.