Always carry on car/truck road trips with my spouse, or solo, as we travel in in some isolated places in the SW (isn't any unplanned stop on a road isolated"?) My concern is a flat tire or other problems when the wrong people may stop to "help". Felons often need cash, a car or worse. I would surrender car or cash but nothing else. I understand many folks don't carry but I couldn't leave ourselves w/o protection, a plan B, in such situations. Former military and many firearm classes. Don't carry w/o meaningful training.
My wife and I have traveled and camped extensively in remote areas of the southwest and northwest and continue to do so. Both my Scamp travel trailer and and Lees-ure Lite camping trailer are set up with solar so we can camp off-grid, which is our preference to using busy noisy campgrounds. We feel the greatest threats to personal safety are the weather and predatory animals (e.g. bears), so we use common sense (I hope) and situational awareness to manage those risks.
We've been in some gnarly situations, equipment wise but so far never stranded (breakdown). We have run out of fuel on occasion, including on our Spyder in the middle of nowhere, Wyoming. Always been bailed out by a trucker or fellow traveler and sometimes made a friend or two. In all the time (20+ years) we've lived and traveled out here, I've never heard of travelers being assaulted on the road by bad guys with guns. There have been 2 occasions where campers have been assaulted by lunatics with guns or knives, but there have been far more instances of campers being killed by wildlife, falls, drownings, hypothermia, heat-stroke, thirst and lightning strikes.
We have never thought our risks traveling in the remote parts of our beautiful country could be mitigated by carrying a firearm. I'm former military with combat experience; I hope we never get to the point in America where I feel the need to be heavily armed for protection while traveling.