towing with a 4runner
Forget dry weight. It is not reliable (does not include any accessories or changes by the dealer). Also, you will probably never tow it 'dry' (except to get it home from the dealer
. It is best to use only the GVWR of the trailer, as that is the most it is allowed to weigh.
My truck has a 6.0L V8 engine, and had trouble pulling a 6500 pound trailer up hills... So I suspect you are not going to be happy with that engine/trailer combination.
As for sway, I suspect the right hitch may minimize that. If I were to tow a travel trailer, the first hitch I'd investigate would be the PullRite. They claim it makes a TT 'tow like a fifth wheel'. Certainly appears it would be easier to hook up than any fixed hitch.