Yes you can pull a travel trailer. I have a friend that pulls a 4500 ish lb hybrid around and that 4.7 does just fine. Airstreams are a little different as they are easier to pull through the air. Remember that you are punching a huge hole in the air. The lower the profile the smaller the hole is because more of the trailer is tucked in behind your truck. Pulling an airstream is easier due to the aerodynamics and is nothing like pulling the flat box that I have.
Also, with Airstreams the hole you have to punch for a 16 ft Bambi is about the same as a 25 ft International. I would have no problem pulling 5500-6500 ish lb airstream with your truck.
Google Can-Am RV in London, Ontario Canada and just tell the lady who answers that you have a towing question. They love talking towing there and will give you solid advice on pulling an airstream. They are an Airstream dealer.
Thanks!
Jeremiah