If you check your (original) tire max load, you'll most likely find the value is `3032 lb -- so GM lists GAWR at 2 * 3032. Your AAM rear axle actually has a capacity or over 10,000 lb. So if you are willing to significantly upgrade your wheels, tires, and rear springs (as I did -
springs), you can probably carry that camper weight.
HOWEVER -- that's still a lot of weight for a single rear wheel truck. And just because the numbers work does not mean it's safe or reasonable. My gross camper weight is less than 3000.