To achieve your goal of not having to run the generator, the battery bank needs to be significantly upgraded to provide the amps to hold you over when charging conditions are poor (shade, cloud cover, rain). The most cost effective approach is 2 golf cart (6 volt) batteries from Costco.
I agree with the recommendation of 250 watts of solar. Under ideal conditions, that will provide about 13 amps per hour of charging power.
Recommend that you install a good battery monitor, such as Trimetric or Victron, so that the battery state of charge, amp usage, and performance of the solar system can be monitored.
Bruce
