I wouldn't plan on anything using the dry weight of the camper, it's often wrong and any options aren't taken into account when they throw out the dry weights.
Examples would be if you towed with any amount of water in the tanks, the weight of the water and the area where the tanks are located would throw off your guesstimated tongue weight. Just exactly how much weight are you going to be putting the camper? where are you going to distribute that weight. Cooking utensils, LP gas, water, coolers, food, beer, clothing? All of that stuff weighs something and it's going to affect total weight. Where it's placed in the camper is going to affect tongue weight.
How much stuff will you have in the Expedition? What is the payload capacity of the Expedition? That affects how much tongue weight you have left to tow with.
To be exactly sure, you need to know the weight of the trailer, loaded up and ready to go, and the weight of the Expedition, with all passengers and stuff loaded in it, before you can make an educated guess on where you stand with the tow rating capacity.
If the camper is 6250 pounds dry (assuming the manufacturer is close) then your tongue weight is 1% of camper weight. If you add 500 pounds of stuff then you're up to 6750 pounds total with a tongue weight of 1012 pounds. And from my experience, it's not hard at all to add 500 pounds of weight when you started carrying foodstuffs, cooking utensils, tools, firewood, leveling and blocking materials, etc.
I'd wait for a bigger vehicle or a smaller camper.
I am totally confused with this!
A 6250 lb. camper should have:..... "tongue weight is 1% of camper weight"?
1% of 6250 is 62.5 lbs. Did you mean to say 10%?
If the OP added 500 lbs., for a 6750 lb. total, then the tongue weight could be as high as 1012 lbs.
The rule of thumb for tongue weight as I understand it is 10-15%.
For a 6750 lb. trailer; the tongue weight, should be between 675 lbs. and 1012 lbs.
675 lbs. tongue weight would be 10%. At 800 lbs. tongue weight would be 12%.
The bathroom scale method is a reasonably accurate way to measure tongue weight.
If the camper is 6250 lbs. dry, then the axles must be rated at 3500 lbs.,or more, each.
That would mean the OP could add 750 pounds of (properly distributed) gear to his trailer, and would still be fine with a 700 lb. tongue load.
Technically the OP can add 1450 lbs. total, to a trailer with two 3500 lb. axles. 750 lbs. will be carried by the axles, but the other 700 lbs. will be carried by the hitch.
I tow a 12,000 lb.GVW loaded equipment trailer (1200 lb. tongue weight) using a 1997 GMC 4x4 Suburban, with a 454 V-8. I use a 14,000 lb. Equal-i-zer hitch, have new Bilstein shocks, 4 wheel electric brakes, and an Air Lift suspension system. Yup, the vehicle is 20 years old, and has 130,000 miles! I replace the transmission fluid each year, and have never towed more that 2000 miles in any one year. DO NOT TAILGATE! Works like a charm!