I've had mine in the FJ before although not on the trail and I rachet strapped it in the rear. Mine has a nice case that makes it pretty easy.
A puppy is way down the line for us. We have 3 dogs (6 being the oldest) a house cat, a barn cat, and 11 horses. I am on critter overload.It didn't come with a case, but I'll look into it. Thanks. Also thanks for complimenting the dogs. They are great, although the male, Tundra, is a bit of a bear and he likes to get into trouble. They are a breeding pair, so if you ever want another pup, let me know!