I have a question for pilots who have some experience in transporting dogs. How does one get a large dog (think Lab or larger) into the back seat of a small low wing plane like a Piper Warrior? I am assuming, perhaps incorrectly, that the crate would be so large and heavy (with the dog in it) that I would not be able to fit it in the plane, and that I would have to persuade the dog to get up on the wing and then get into the back seat. Any thoughts are appreciated. Thanks.