Sorry, no pics, but on the US tire, I found that just skimming a 3/4" to 1" wide by about 1/2" deep strip of rubber from the inside edges of the bead gave good results. You would just be meeting the cords of the tire. The tire won't neccessarily fall onto the rim at this point...it will still require air pressure to seat it, but at least you are left with the possibility of repairing the tire one day.
The story of the CMP blowing it's tires after crossing a set of tracks during the Alcan run a decade back is a reminder of why you don't want to overdue it.
On the ferret tires, I used to remove a lot of bead , and actually cut in to the cords. These were runflat tires, and almost indestructable. I blew an innertube while towing my KL to Winnipeg a decade back, and the truck completed the tow in to Winnipeg, and drove all through town on a series of parades and events. All on the (run) flat tire. The KL was a very heavy truck, but you really couldn't tell there was anything wrong with the flat visually.
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