Hi Glen,
The documentation on your inverter is ambiguous. On one page it says it has a GFCI, but then in the detailed section it leaves off any discussion of GFCI. So one of two things is true:
Try the NG plug and a small load. If the output works fine and all is good. Success. You've followed the grounding strategy set forth in the DIY Solar forum tutorial.
If the inverter output immediately trips off, we can assume the inverter output has a GFCI and you can't use an NG plug. In this case, continue to ground the inverter case (to the 12v neg bus bar) but let neutral float relative to the camper battery 12v neg bus bar. Assume the internal GFCI will cover any issues of the hot wire touching a grounded piece of metal. It's not necessarily the best approach but it would be good enough and certainly the way the inverter was designed to operate. I suspect most people operate with their small inverters like this (no bonded neutral). And all too many don't even tie the case ground to the camper's 12v neg bus bar. Arguabley not the best, but it would still work. I wish the industry did a better job with this topic.
Good luck on your hunting trip. I'm sure the electrical will work great. If you're out having fun in a camper you should certainly have easy/safe power.