I wonder if an Onan resonator might help.
In my experience, the install of the Onan is very important. I've seen very quiet installs, where the genset was installed with the proper rubber shock bolts, acoustic insulation on the top and sides (not the bottom of the enclosure, so it doesn't get saturated if there is a fuel leak), offsetting the intake vents from the cover (but still ensuring proper CFM coming in), using proper brackets for wires, pipes, and hoses, so vibrations are not transferred through those lines, and using a resonator. I've seem some people even use SuperTrapp kits to further reduce exhaust noise, but those might void the warranty of the generator due to possible back pressure.