Where do you get that figure? Is it for a family of a certain number? My wife and I have existed quite nicely with a system as small as 3kW and our current one is 5kW which leaves us with a significant excess every month.
A 5kW system isn't that huge.
I live in the Pacific Northwest. You are no doubt familiar with our weather. 6 months of pretty much non-stop cloudy and rain.
I maintain a 1000kWh excess month-over-month year round here in the PNW with solar.
I have never lived further north and I'm fine.
Grossly incorrect.
You seem to have made a near perfect score of getting almost everything wrong.
You are confused.
You have no idea of the Engineering of solar.
You may be hermits but most families consume much more than 3KW.
As emergency hurricane preparedness I have a 2.3KW generator. That will run my refrigerator, a small efficent 5K BTU emergency AC window unit for the bedroom and a few lights. It will not run the major appliances like the washer, stove, dryer, central air or any kind of heat. It is strain just to run the microwave by itself.
I lived on the desert side of Washington state for seven years. More sunshine than the East side. During the summer months with the sun high you could produce a little bit of solar power. However, once fall came you hardly saw the sun until the next Spring.
My neighbor up there had solar panels (non electrical) on his house to heat his swimming pool in the summer and he still had to augment it with a gas heater most of the time.
In the NW there is a lot of hydro power and some nuclear and that keeps the cost lower than in most parts of the US. It would be dumb to put in solar at that high of a latitude with such limited sunshine during half the year when grid electricity is so cheap.
I think you are over selling your system. I am not calling you a liar but I would have to see it to believe it. I have seen other solar systems and they are usually a disappointment. As an Engineer I have done the calculations with real world inputs (as opposed to salesman inputs) and it never makes sense.
Solar is shitty technology with a really shitty payback. In physics their ain't no such thing as a free lunch.