Expedition Tow Vehicle - Doing the Math - Will it work?

You've got 1,827 lbs of payload. Does the 6,000 lbs trailer weight include full propane, batteries and weight of the weight distribution hitch? If not those things need to be added to the trailer weight to calculate the tongue weight which conservatively will be 12.5% of the trailer weight.

Weight of trailer including all of the above times 0.125 = tongue weight

Deduct the tongue weight from you 1,827 maximum payload and that will give you the maximum weight of the things you can carry in the truck.