This or just get a bigger gen. I can't see a 2kw gen running the AC, fridge, lights, etc for a 16' trailer.
When I was looking at them Honda only made their inverter generators up to 3K. They might make a 4K, but I don't recall seeing one.
Yamaha makes a 4K inverter, and my buddy has one. Bad ass generator, incredibly quiet, but heavy as fugg, cost over $3,000.00 brand new, and you only have one generator.
For around $2500.00 (more cheaper actually) you can have two very portable, very reliable, very quiet generators that can be paralleled and will likely handle most any task involved with campers.
That's why I recommend the two smaller Hondas. Or, two smaller Yamahas. I have another friend that has the 2K Yamaha's and he is very happy with them as well. I just prefer Hondas.
Travis