Champion 3100 inverter genny question

We brought our new trailer home yesterday. I hooked up the Champion and fired up the 15k A/C unit. Granted, we're only about 500 feet above sea level, and it was only about 75 degrees. In Eco mode, it blipped up to about half throttle and never went any higher. It handles it well. We did have the dealer install a hard start kit, which runs about $30. I don't know how much of a difference that makes. I may be looking at the $300 kit in the near future. We spend a week every year at Lake Siskiyou, at the base of Mount Shasta. The loop we use is slowly being converted from 30 amp plugs to 15-20 amp plugs. Non-kitted 13.6k units will work on some of them, but not all. For our 15k unit to work, we would need the $300 miracle and a real miracle to go with it. We'll see if they got to our site, in late July.