If you talk to enough folks, you'll probably discover that the overall favorite is either a Honda or Yamaha 2K unit. Most people with full size TT's & 5er's prefer the 2K models because they can run a microwave or hair dryer and other appliances that are rated at 1500 watts. The 1K models won't do that.
The other advantage of a 2K model is that you can run more than one thing at a time, although the microwave and the hair dryer at the same time are pushing it...
We dry camp at least 30 days a year in NY State Parks usually in blocks of 2 weeks or more so we tend to rely on the generator to keep the coach batteries charged, along with other portable devices as well as run 110vac appliances.
We have a friend who bought an Airstream Bambi and then went out and got a 1K Honda. After just a few days of use, he started telling us about the limitations he was discovering and that he wished he'd spent a bit more to get the 2K model. His experience seems to be a fairly common one among the folks we know and meet along the way.
Another advantage of the Honda eu2000i is that it delivers clean power that is safe to use for computers and other delicate electronics.
We've brought the generator along on various outdoor events, and had plenty of power to run whatever was needed.
One final thought: we also rely on our Honda 2K for power at home during power outages. It has enough oompf to keep the home refrigerator going plus a few lights and more so that we can resume a reasonably normal existance. Our stove is propane, but needs 110vac to control the gas safety switch. Won't run at all without 110vac. We heat with wood, but rely on a small 110vac blower to distribute warm air throughout the house. I would not be happy with a 1K unit during an extended power outage.
For boondocking, an adequate water supply is a must. Plus you need to be able to get it to your rig and then into your water system. We carry a 6 gallon water tote all the time plus 200' of white RV water hose. The state parks we camp in have water spigots every few sites, and I can generally reach the spigot with that amount of hose. The 6 gallon tote is a good alternative if you just need a few gallons here and there, but if you're doing showers, etc., carrying a full tote of water gets old real fast.
For extreme dry camping, we have 3 additonal 5 gallon water totes available to us.