A great deal depends on the dog.

I've run my cattle dog mutts twenty miles at a time off the leash alongside legal highways, at "heel" next to the bike. Some dogs will do that, cattle dogs (AKA blue heelers) are purpose-bred working dogs and take to that sort of thing naturally, with many other dogs I wouldn't have a prayer.

But as far as bicycle touring, search on "dog touring" on crazyguyonabike.com: Bicycle Touring: A place for bicycle tourists and their journals and you'll get tour journals like this....

https://www.crazyguyonabike.com/doc/...id=103299&v=Ct

I will say that, based on my experience with dogs anywhere, a great deal of your time and attention will be devoted to supervising the dog, for better or worse.

Mike