The Honda is a fine machine no doubt, so it the Yamaha.
I have a 184BH. I run my camper off of the Champion 2000 watt. It is super quiet. Side by side by a Honda there is little difference (as far as being quiet). The Champion CPE 2000 watt inverter generator will not put out a full 2000 watts for 30 minutes like the Honda, but it will power your camper without any problems.
Like the Honda and the Yamaha, the Champion has 2 settings (quiet and not quiet). I can run my AC, all my lights, my TV, without the engine revving up into the (noisy) function.
The "loud" mode is actually called the economy mode. I can run my camper on economy mode for 10 hours, with 1 tank (1.1 gallons).
I have two of them actually. I bought two of them because the can pigtail together (like the Honda ones) to give 3000watts. I bought them from a company called Super Gen Products. They are currently selling the single 2000 inverter for $394 (free shipping). http://supergenproducts.com/product-.../cpe-inverter/
For what it's worth, I have actually ran my AC, and most of my lights overnight with a 2 stroke 1000 watt generator as well. It is loud, and you'll have to wake up in the middle of the night to refill the gas, but it can be done. To do that you have to turn on the AC in stages... Fan first, let it spool up, then click over to the AC. http://www.amazon.com/Trades-ProŽ-St...watt+generator