I think, that after you run the numbers, you will find that a gas generator makes more sense. But the goal of your question is education, not advice
Step 1 is to figure out your daily _energy_ use, in terms of kWh.
Step 2 is to figure out how much solar capacity is required to reliably produce that many kWh. The key here is reliably. You have sunny days and cloudy day; the length of the day and the weather impact production. On a hot, humid, cloudy day you will need to have enough production to cover your usage.
Step 3 is to figure out the energy storage capacity needed. You always need some capacity because well, night

But if you can use energy from one day to the next perhaps you can get away with less solar production capacity at the cost of more energy storage capacity.
Step 4 is to figure out your peak power demand. Your inverters have to be able to provide enough _power_ for things like starting your well pump or HVAC load.
The reason that grid tied systems are so popular is that you don't need the energy storage, and also you don't need the surge capacity to start loads. The grid is treated as your battery and your surge source.
You can do some horse trading. For example you can use a VFD driven well pump or HVAC system to eliminate the starting surges. More expensive loads but lower inverter capacity needed.
Others will give you a more detailed response, but this should help you get started thinking about things.
-Jon