I assume based on the year of your trailer you have the 11,000 BTU Dometic Penguin. Before I installed a mini-split our experience near sea level is that the Honda EU2000i (1600W rated) would run the A/C but nothing else. It might go in to overload for example if the converter was trying to charge the battery at the same time. My parents have used it to power two or three refrigerators (cycling) during an extended power outage in their neighborhood. Some have reported that EU2000i/EU2200i's and other "2000W" models would not run their A/C (maybe elevation influences) without the addition of an
MicroAir EasyStart. It looks like Champion also makes a 2500W model but look at the running watts. The Champion is 1850W rated on gasoline so it is basically equivalent to a Honda EU2200 that is rated 1800W. That 2500W model might be a decent choice for a balance of cost, power, noise and portability. As was mentioned watch your derate on propane. The Champion 2500W rated at 1665W running on propane is essentially equivalent to a Honda EU2000i running on gasoline.