recommendation for generator

The benefit of an inverter generator is that it decouples engine speed from electrical frequency. A conventional generator has to run at 3600 rpm all the time to produce 60 cycle output. The engine in an inverter generator can run quietly at low rpm when the electrical load is low because the inverter section is setting the output frequency. You will find that there isn’t much if any difference in noise level between an inverter generator and a traditional generator under heavy loading, For example when running the a/c. Both are sine wave output.

A couple of other considerations before buying a generator:

Consider the weight and how you will load and unload it. The Honda or equivalent 2kw-ish genny weighs in slightly under 50 lbs. Thats already pretty heavy for many folks to lift safely.,The bigger ones get really heavy. That’s why I went with the Honda 2kw and Microair easystart, one disc surgery was enough for me,

The other consideration is that many/most campgrounds won’t allow you to run a generator at night, so if you want it for a/c overnight you might be disappointed.

Then there is fuel. You’ll need to carry that safely somewhere as well as the generator,. I converted my Honda to propane so I don’t need to carry a fuel can around.

Thanks for the confirmation. I figured that the CO and heat dispersal would be fine. I didn’t know if there were any drawbacks that I hadn’t considered. 

I wouldn't try to lift that generator either. Unless you get the genny exhaust directed out of the cap everything back there will wind up with a nice aroma of partially burned hydrocarbons. 

I have run my 4000 watt genset inside the truck bed, with a truck bed topper on the pickup.