Unless gas is dirt cheap, electric heat can work, since you might be in a prime location
for using an ASHP (Mini-split
inverter heat/cool system).
Check out the
Geothermal - EcoRenovator area for ASHP & Mini-split installs.
In my case, using a Mini-split is saving us a lot of money on heating (and cooling).
Since we can't get gas, and fuel oil is priced like gasoline.
The idea of adding on solar PV to power the AC is a good one, but even without it,
my investment in ASHP hardware is netting us excellent savings,
even at 21.6 cents/kWh.
Bottom line, running an Inverter mini-split is so cheap when you have reasonable
electric rates, the break-even point for a PV investment could be a loooong ways out..