Holstein, We have an 03, 5.5 Onan. In the summer, we regularly run it with the windows open, and can barley here it running. I started ours and let it warm up, then shut it off, disconnected the fuel supply line and plugged the tank supply and covered the inlet to the fuel filter, then started the gen. As soon as the generator started, I could not hear the fuel pump, even though it was running dry. The loudest part of the generator, when it is running is the cooling air flow.
Are you running the gen with the access door in place? If not it will overheat. Next, check the bottom for a cover that starts at the back and comes within about 2" of the oil filter. Under the bottom air shield should be perforated screen that keeps debris out of the air flow. It is designed to get outside turbulent air for cooling, not from under the MH. When you are actually running on the road and any speed faster than I can run, the hot air from the engine, will exit from behind the transmission, not out the sides. If all the panels are in place, if is very unlikely that it is overheating from the engine source. The fuel pump should be mounted to the large cast base of the generator, so very little noise should be transmitted from it. I assume that you are using 87 fuel? It does seem that you may have a fuel problem. Does it give problems with a full tank, the same as a 1/2 tank of fuel?
To tell you the truth, we have never traveled with the generator running, as the dash AC does a good job of cooling the entire MH, even when it is 106 out.