Having started the rv adventure with 3 popup trailers followed by two travel trailers before purchasing our first MH this spring, I tend to think the better investment will be a full sized V8 1/2 ton pickup at the minimum. Unless money is no object, buy a truck that will allow for future trailer purchases and minimize future costs by buying one truck and keeping it for the long haul. Then, if you choose to move up to a larger trailer to meet changing needs or wants, you won't have to add the cost of changing vehicles.
By not changing tow vehicles, you could take the savings and buy a used, fuel efficient car for your daily driving needs.
IF you think you may want to eventually tow something that will weigh 8K or more when loaded, then consider going diesel if possible. I never went that route, but if you get the diesel now, then you can move up to a fifth wheel trailer if you eventually want a rig for longer stays and more extensive traveling.
BUT...yes, it sounds like the truck you are looking at will tow the trailer. However, any future trailer changes will be very limiting with that truck. And...make sure you crunch the real numbers i.e. payload, realistic weight of the trailer with added gear, impact of carrying bicycles for the family (if applicable), etc.