I typically put my dogs in the smallest possible pet carrier and strap them to the cargo carrier mounted on the rear of the camper. They enjoy the fresh air, cool breeze, and they love barking at other cars as they pass by. Many people apparently appreciate my idea, as I always see them slowing down and taking pictures before they pass me with a huge salute of my ingenious.
I've driven thousands of miles with dogs in the back of a truck. In a pet crate, chained to a fixed point or walking freely. None of them were ever traumatized.
The idea of a companion dog being breed-specific is ludicrous. Same with the notion that those "hunting dogs" and used to it. Well, I could make any dog used to one thing or another. I could train a pit bull to be my lap dog and get a poodle to be fully outdoors and flea-ridden. The difference is in how PEOPLE treat them, not what the breed is predisposed to be.
I've had many dogs over the years. They ALL are completely outside animals, fed once daily, drank from a bucket, never went to the vet, ate cheap dog food, and all lived long, long lives. I watch people every day baby their dogs to death. Feed them fancy things, drag them to the vet every time they sneeze, coddle them like a spoiled child. They get diabetes and heart problems and cataracts and everything else. And they spend more on dog health than they do on their own well being.
Bottom line is that dogs ARE NOT humans...never have been, never will be. Dogs are only a few generations removed from potentially being someone's dinner (during the great depression). They're currently a few continents away from being someone's dinner on purpose. They're only a few centuries removed from being almost completely work animals...ones that actually serve a purpose other than being coddled and carried on every camping trip. I laugh and shake my head every single time I see someone bend over and scoop up their dog's poop with a plastic bag.
So, to the OP, put the dog in the back of the truck, in your lap, strap them to the roof like aunt edna or do whatever. You'll find that you care more than the dog does.