Well, it didn't take long before the "get a one ton" crowd along with "get a HA or PP" folks gave you their idea of success. It is really too hard to answer your question because there are many variables.
Not all 3/4 tons are rated the same as you know. Bigger engines, more HP, more torque and different payload capacities will all influence your decision. I am guessing that there are a number of trucks out there that will match up nicely with your new under 9K trailer.
You say that you travel light. That should increase your options but pay attention to payload numbers. My trailer as a dry weight of 5200 with a GVW of 7300. We travel down the road close to 6500. I have weighed this more than once. They say it has a hitch weight of 720 but mine is very close to 1000 pounds. Two propane tanks, two batteries and a spare tire add up quickly.
My Tundra leaves me little once I put the ball down and the wife and I get in. My experience has been very good with this combo but I am not going to tow anything larger. I also have an Equalizer hitch dialed in nicely and have never had any sway even in winds, rains and even a little snow.
A good 3/4 ton will serve you well.