Here's one idea to find your true camper COG from a weigh scale:
Weigh your truck, front and rear axle weights separately, without the camper.
Re-weigh with your camper, with the same truck conditions (passengers, fuel, etc) and get the loaded front and rear axle weights.
Your total weight difference is your camper weight (obviously).
Knowing your wheelbase and the difference in axle weights, you can calculate your exact COG.
The proportion of camper weight carried by your front axle will be equal to the proportion of distance between your rear axle and your camper COG. If your loaded front axle becomes lighter, your COG is behind your rear axle.
Here's an example:
Unloaded front axle 4500 lbs.
Unloaded rear axle 3000 lbs.
Loaded front axle 4700.
Loaded rear axle 6500.
Wheelbase 160"
Camper weight: 3700 lbs.
Proportion of camper weight on front axle = 200/3700 = 0.054 or 5.4%
5.4% of 160" = 8.6"
So your true COG lies 8.6" ahead of your rear axle.
Of course, that is true only for the way your camper is loaded. Changing the weight distribution in the camper (water, food, etc.) may change your actual COG.
Hopefully this makes sense. I've dashed it off pretty quickly, so if I've made an error, I hope someone will point it out.