Came back from the garage and tire shop today they said I'm going take a bit of ride pounding most of the time with the E rated LT, as I drive a empty truck 95% of the time. My old and worn OEM tires (66K on them) are not helping my ride when I pull. Their trying to match me with a few good quality options other than the E rated LT. for a happy median.
I do not plan on getting a larger trailer and pulling with this 1/2 ton truck. If I was towing more than about 3-4 weeks out of the year, (all short in state trips < 200 miles) LT E rated would be a better fit.
I do believe the bounce issue at times is more of a hitch/load set-up, and less of a tire problem.
Thanks everyone for all the great tire and tow information. This site is a wonderful source.