I am considering a small Honda or Generac generator to get some AC power while on the hook. One of the things I'd like it to do is power the A/C unit which was factory installed and I believe is 12,500 btu. Does anybody have experience to share with these generators on their boats? The 2000 watt units have 2200 to 2400 watt surge and weigh only 50 lbs which makes them easy to store and set up. Could that size run the A/C?