Wait, did you say 350KW of solar? As in 350,000 watts? How is that not enough to heat on it's own? You could run a bunch of electric water heaters in the day and then use that to heat the house using rads. That, on top of the wood stove should be enough I would think.
It's my dream to eventually buy land where I can setup a big solar array, though I would probably do like 20-40kw at most. I don't imagine I would need more, though battery storage is what is important too as the days are so short except for the summer months. Then I'd have more power than I know what to do with, so probably just go crazy on the A/C since I can.