I think what you are referring to is commonly called sway. All bumper pull trailers will do some of that, but it should be very mild. The first thing that hit my mind was either you don't have enough tongue weight, or most likely you don't have enough truck for that trailer. You might take a look at the load rating on your TV tires. If they are P rated try a stiffer tire. How much air do you put in the tires? If you are not at max pressure as stated on the sidewall, try that first. It's definitely the cheapest and easiest. I know you don't want to hear it, but mostly it sounds like you don't have enough truck. Just my opinion, that and $1.50 can get you a cup of coffee.