What do you plan on using for the interior surface? Perhpas the foam can be sprayed directly onto the inside ofthe box van walls, then the inner surface attached to stop the foam from over expanding, and also will hold that surface in place - sometimes very tightly!
The recommendations to do all the wiring first is a great one, then you will not have to cover the wiring, it will be encased into the foam. With the inner surface attached to the still expanding foam, it should stick in place, and you will have a very vibration free wall system.
Check with the installers about the R value per inch of installed foam. Some are better than others, and most provide a 100% draft free vapor barrier.
But it is also hazardous to spray, you need supplied air respirator with emergency egress system, no cartridge will filter out the air, it is brought in from another room, or the outdoors. The egress system is a 2 minute oxygen container like a SCUBA tank, you carry it with you, and should your air line get tangled, you disconnect and get out before the 2 minutes is up, or hold your breath!
If your intention is to install the 1" thick or 2" thick panels already expanded, and sold at Home Depot and other places, there is no hazards to that material (unless it catches on fire - then look out). You can cut it and fit it around anything that is in the way, then put up a interior panel, to make it look nice. It will still vibrate, and should provide up to R3 or R4 per inch of thickness.
You might also look into Reflex bubble wrap type insulation. You can buy it in 4' wide rolls, I bought 125' long one to insulate the attic around my sister's A/C unit, and all the ductwork, installing an additional R4 to all the ducts I could reach, then lined the room the HVAC unit was located in with more Reflex, insulated the cabinet itself, so the coldest air in your whole house (51F typically while it is running) is within the A/C cooler cabinet, insulated from 115F attic temps by 3/4" of fiberglass (R3?) and I increased that to R-7 or so.
It can be stapled to the paneeling that will become the inside wall surface, then the wall surface installed. Ot can also be taped to the exterior walls of the box van (inside of course) with good duct tape, and will also create a vapor and wind barier. I was thinking about putting Reflex under my carpet in my RV, but being exposed to the heat of the engine might be to much for it, and walking on the Reflex should pop the bubbles, making it useless.
For the doghouse lining, air duct liner about 1" to 1.5" thick will provide about R4 insulation to keep the heat out. It is also flame resistant, and will not support flame spread (I tested with a BBQ lighter, the flame would not start on the material, or spread, or damage it much).
Good luck on your project.
By the way, a domestic refrigerator can not run on a modified sine wave inverter. High torque motors like in a refrigerator would require a pure sine wave inverter.
Fred.
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