I did some poking around this morning and did some LISTENING.
There are three sources of noise.
1) Fan and air movement noise from the return air.
2) Transmitted rumble and vibration due to the rigid mounting of the furnace to the floor.
3) Air movement and burner noise from the hot air outlets.
To quiet down the furnace all three of these will have to be addressed. I'm going to start with the return air because it's loudest and easiest to fix.
The furnace return air is drawn in directly by the blower input with no baffling, filtration, or enclosure in the furnace itself. Therefore, a good deal of noise is generated. By using sound-absorbing materials in the air path from the trailer interior to the blower, it should be possible to attenuate the noise considerably.
Return air is drawn from two sources: through a baffle from the kick space under the undersink cupboard, and from the grills above and below the microwave. Most of the noise comes from the kick space. I believe that by applying self-adhesive acoustic form to the baffle system and the cabinetry casework, the return air noise can be reduced considerably.
The transmitted vibration seems to come mainly through the floor mount. Airstream builds a little plywood shelf, which is rigidly attached to the floor. Then, the furnace is attached to the shelf using semi-rigid sheet metal brackets. I believe the most straightforward way to control the vibration is to allow the shelf to float from the floor using vibration isolators:
Vibration Mounts eStore Cylindrical Rubber Anti Vibration Mounts Rubber Neoprene Urethane Sorbothane Silicone Gel Ring Mounts
There's plenty of clearance and it may even be possible to change the way the shelf is mounted without removing the furnace.
That leaves the hot air supply. The ducted supplies leading to the aft portion of the trailer do not pose a problem because the flexible duct attenuates the noise sufficiently. I'm thinking that it might be possible to design a replacement magazine rack that incorporates a baffle box that covers the duct outlets and is lined with sound-absorbing material.