Running roof air off solar, a Honda EU1000, and batteries

First off, if it works for you, awesome!!
Second, you are hauling around 1000lbs of batteries to power your stuff,
third, this is a temporary measure. You still have to put in more amps than you are using to get any kind of a charge or you will eventually drain the battery banks down. You could also have 15 solar panels out there doing the same thing probably better than that little generator

For the cost of that invertor and batteries you could have an EU6500 at 1/5th the weight.

Chris