It appears truck camper magazines buyers guide is pretty close to your actual weight.
*Northern Lite 8-11Q Classic Sportsman: dry weight, 2,168 pounds + 33 gallons fresh, 275.2 pounds + 6 gallon full hot water heater, 50 pounds + 2x 20-pound propane tanks, 40 pounds + 2 batteries, 130 pounds + stuff, 500 pounds = 3,163.2 pounds
6780 for your truck plus 3163 for the camper equals 9943 pounds..They seem to be as close as one could get to "estimate" what a TC would weigh loaded and ready to camp depending of course, on different folks take different stuff.