Your numbers are conservative. I think you will find yourself over the Armadas gvwr (payload). Dry weights don't include options, propane, batteries etc. Delivered weight is usually a few hundred pounds heavier than advertised. Tongue weight will definitely be higher and push the limits of your receiver. The propane tanks and battery sit on the tongue so it will definitely be more than 701lbs. To avoid sway and be stable a tt should carry approx 12 percent of its loaded weight on the tongue. At minimum that would put you at 888lbs if you were actually 7400lbs loaded. Then add in the weight of the hitch itself. Based on those numbers (which are still conservative) you'll be over your gvwr.
If your numbers include weights for children remember that they won't get any smaller. You'll be over weight now with no room to grow.
