Smaller Generator with Capacitor

Hey folks,
Newbie here.  First post.  I am moving into an off grid home that currently uses a 7.5KW Diesel GenSet to power all her needs.  The smallest light bulb in the house is 100 watt because the manual said to load Genny right up so it doesn't carbon up.  Normally all the lights are left on in order to accomplish this.  With compact fluorescent lights, I can cut the load (which is currently 2400 watts of lights!) down to 240 watts - if they are all on.  Fridge, stove, water heater are all propane, so I primarily need a genny for lights.

I wish to buy a small honda for the time being - until stream surveys are complete anyway.  Problem is, the water pump delivers a 1012 watt hit when it first starts up.  I wish to use a 240V inverter on a car battery to run this pump when it kicks in occasionally.  Then charge the battery with little generator.  The generator will always be running when the pump is, so the battery will never be dead, only act as a capacitor.

Perhaps I should run the entire place like this?  Recommendations?  The new Genny will only be 120V, so but thats ok cause the only 240V item is the water pump.  I did the calculations and I will save 520 bucks a month using a small Genny. ($580 vs. $62) at 400 watts continuous.