OK...more than likely, 3/4 ton truck will work much better for trailers you will be considering. Before buying our Minnie last summer, we had a 29 foot Sunline trailer that weighed in around 8500 lbs. loaded. Although my Tundra can technically tow 10K, you could definitely feel the truck working to pull it in hilly terrain. With a Hensley hitch, it was very stable, but I'm not sure I woul have wanted to go over the Rockies with it!
With the crew that you will be traveling with, you will probably be attracted to trailers weighing closer to 10k...which, IMHO, means you should have a 2/4 ton truck with more payload capacity, as well as towing capacity.
Now, as an example of weights, my Minnie is 5k dry...but you have to remember that doesn't include options such as awnings, filled propane tanks, battery, etc. My unit, with gear aboard minus food, clothing and water in the tank weighs 6200 lbs. So, I'm on a 2 week trip right now, and I'm probably towing 6500 lbs. and my Tundra handles it beautifully!