I have recently purchased an older RV. It is 18 ft with a rooftop air. I am going on a trip and would like to run the A/C but there will be no power available. I do not want to buy a generator for only one trip but I have access to a 2250 generator. The only thing that will be runing is the A/C and maybe one light. Does this sound like it would work. Also is the are not a match and I try it anyway would it harm the Generator or the A/C???