I understand your concern. Going for a short trip with a dog is a good idea than a long trip.
Anyway, I think before you start traveling, you should use your smartphone to find a vet on the go, if any problem persists. Smartphones are a great advancement in technology and will help you find a vet on-the-go, it’s a good idea to do a bit of research before you leave.
You’ll want to plan your RV route so that it doesn’t take you too far away from a nearby town where you can quickly get to a vet, if necessary. You can also ask your hometown vet to refer you to some good docs in the areas that you’re planning to travel to.
I hope that helps.