Jeff, A 100w solar panel will output about 5 amps, in full sun, you will get about 5 hrs of sun per day, so your one solar panel will give you about 25 amp/hours per day. I did some measurements on the 'idle current' of my inverter and I was getting about 2.5 amps draw when the inverter is in the 'standby' mode. So 2.5a x 24 hrs/day = 60 amp hrs just from idle current from the inverter. Your refrig CO detector, smoke alarm, etc also draw amperage 24/7. You are gonna have to run your generator each day for an hour or two to keep your batteries charged, unless you are hooked up to shore power.
Now, if I could only convince the wife to go to Mexico!