Not real familiar with the Toyotas, but with the correct motor and gearing, if the truck has enough payload then it should do the job just fine.
Any of the 1500/150 trucks with the proper equipment will have more than enough "power" to tow the trailer, but as we have mentioned, look in the drivers door for the available for that actual truck's payload.
Originally Posted by need-a-vacation
There will be a yellow sticker in the drivers door jamb stating "All passengers and cargo not to exceed XXXXlbs". The weight of all the passengers, cargo in the tv (coolers, firewood, etc), any accessories added to the tv, the wdh (weight distribution hitch), and the tt tw (travel trailer tongue weight) should not exceed the stated payload.
From my earlier reply, all the above counts toward the stated yellow sticker payload. How much is the passenger weight? How much cargo do you plan to carry in the truck bed? Will you add any accessories: truck topper/ cap, step bars, etc, that will subtract from the payload?
So pending the above estimated passenger/cargo weight of the truck, plus the tw of ~850lbs (estimate ~13% of a 6500lb loaded tt), will it be less than the yellow sticker amount of the truck you are looking at?