I'm pretty sure the published pin weights are significantly lower than reality, once you add your options, clothes, food, tools, etc. etc. to your trailer.
So let's say the real pin weight ends up at 2750 lbs. That leaves you 950 lbs for your hitch (~200 lbs), fuel (~200 to 250 lbs), you and your wife (~350 lbs???), large cups of coffee (~20 lbs each...just kidding).
Theoretically, you're going to be okay. But a weigh scale will tell you the real details. By all means, fill up the truck with fuel, and you and your wife should take the truck and trailer through a weigh scale. Weigh each axel of the truck and trailer, then go unhook the trailer and then do the same for the truck. Do the math, or get one of the resident experts at the scales to help you calculate your real pin weight.
Then, please report back here, we're curious what the real pin weight turns out to be.