Thanks for the updates, looks like a trip of a lifetime!
Some, including me, would be interested in what tires you're running (load range E, 10ply rated perhaps) and if you determined the cause of your flat (nail, screw, other shrapnel?) and if the tire is repairable. That's a long way from the barn to be having horseshoe problems,
I have never (knocking wood as I type) never had a flat on the pickup or the single axle camper trailer even with thousands of miles on graded gravel roads and trails in Montana, Idaho, and Wyoming. I realize that obviously some do, so I wonder what the difference in overall setups are.
Enjoy and thanks again!
Foy