Not all state require a weight registration of any kind nor is it available for a private use truck.
Here's a couple of points for you to ponder.
The first is from a state Q&A on their weights website;
Declared Operating Weight
What are GVW and CGW?
3. Q - Can I declare an operating weight higher than my vehicle's Gross Vehicle Weight Rating (GVWR)?
A- Yes, but only if you are declaring the weight of your vehicle in combination with a towed vehicle and its load (the Combined Gross Weight). NOTE: A declared Combined Gross Weight does not authorize a truck without another vehicle in tow to exceed the truck's authorized axle weight limits. '
2nd point is your 3500 SRW braking performance is the sum of the axle ratings. The SRW does not have the same braking performance as a DRW;
..a 3500 SRW may have 5200 FAWR and 6500 RAWR = 11700 lb of braking performance.
..a 3500 DRW may have a 5500 FAWR and a 9350 RAWR = 14850 lb of braking performance.
NHTSA says this about components of the GAWR:
"Gross Axle Weight Rating is the rated load-carrying capacity of an individual axle and wheel assembly. (It represents the load that may be steadily sustained by the components in the system; i.e., tires, rims, hubs, bearing, axles, brakes, suspension, sub frame, etc. with the GAWR limited by the components with the lowest working rating".
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You've added higher rated tires/wheels and suspension help which I have no problem with doing so to carry a bit more more weight.
Having pulled 20k+ GN trailers for a living with one ton DRW trucks IMO you still have a SRW truck which will not have the same stability especially on wet down hill twisty winding roads and a heavy trailer pushing in the curves or high side wind areas.