While not as nice as a Honda EU genny you might want to at least look into the Kipor line.
They are a lot less expensive and still very quiet- although just a bit louder.
I have a Kipor 3000i that I got slightly used for a good deal 50% off. Just had to take apart the carb and clean out the gummed up old gas ( the PO let it sit for a long time). After that it has run perfectly for us ever since. It can run the 13,500 rooftop unit AC, coffee maker, electric heater, fridge
, stereo.... On my 24' stickbuilt trailer just fine.
However, it is overkill for a small trailer with a small AC. I would opt for a Kipor 2000i or Honda 2000.
I'm keeping the 3000 mainly for home use for power outages- just to run the fridge
and few smaller items as needed.
Having said that-- we don't really use ours for camping and only did so on a few occasions. Over the past 2 years I have become somewhat opposed to Generators and can no longer stand to hear them running when I go camping. Even the quiet ones pluck my nerves--- especially folks that will literally run them all day in very mild weather when neither a heater or AC is needed....but If I go camping in superheated weather with no shade for our trailer, and no stream,lake or river to cool down in- I will be tempted to bring along the genny for AC.