Hi,
If you already have the truck, then take it to a scale, and look at the GVWR. You will also have front and rear axle ratings. Basically if your rear axle is say 3,000 pounds and it rated at 6,050, then you can carry about 3000 pounds on the rear axle. If the empty weight is say 6,500, and the GVWR is 9,200 pounds, then the maximum of cargo, hitch, and passengers is only about 2,700 pounds.
So lets say that the hitch you pick out is 200 pounds, and your passengers add up to 500 more pounds, then you will have about 2,000 left for the pin weight of the trailer.
20% of a 10,000 GVW trailer is 2,000 pounds or about the limit to your 3/4 ton truck.
However lets say that you have a 4 wheel drive, diesel truck that is a crewcab, and you will have 4 passengers total of about 700 pounds. This means that your 200 pound hitch, 700 pounds of passengers, and curb weight around 7,200 with the 4X4 and crewcab you will only have about 1,100 pounds for the pin weight. No fifth wheel will fit into that range.
So if you have heavy options, then start looking for a heavier rated truck, or travel trailer with 1,000 - 1,200 pounds of hitch weight.
Good luck!
Fred.