We took our Lab all the way from Florida to Alaska and back with no problems. She loved the trip. She sat up front with us watching for moose, bears and other critters crossing the road. She would get all excited when something crossed the road. We left her inside loose with no problems. She was never a problem when left alone at home either. If your dogs tend to get mischievous when left alone at home they probably will do the same in the motorhome.
We always left the air on, running the generator if necessary, like when shopping or stopped at some attraction for an hour or so. She would sit in the driver's seat and watch everyone passing by and seemed to be entertained by the activity.
She traveled to 42 states and 3 Canadian provinces. She was a good traveler. We would never have thought of leaving her home. Take extra old towels or rugs for the muddy places. I used to wipe her feet before she came inside on those nasty days.
She is gone now. We had to put her down in December. With her being with us on those trips we have many wonderful memories of her that will last the rest of our lives. She was a great dog.