I recently purchased a new 2018 GMC 3500 HD SRW CC 4x4 Gas with 10800 GVWR. GRAWR is 7050. Stock 265/70/18 tires were rated 3525 lb ea. My fully loaded Bigfoot 25c9.4 with wife, dog and I with full fuel, ready to travel was 180lbs (90lbs/tire) under the max tire rating at 80psi. I was not comfortable with the safety margin. I opted to purchase (5) Cooper Discoverer AT3 XLT's size 295/70/18 rated at 4080lb/tire at 80 psi with 60K mile warranty. No mods were done to the truck to fit the larger tires, although my speedo now reads 3.5 mph slow at 60 mph. I recently completed a nearly 4000 mile round trip from MA to FL. I cannot say enough good things about the truck and tire combo. Both preformed great -the tires very very quiet with a nice aggressive tread.
Additionally, I fabricated a front spare tire mount using my existing snow plow mount. This had the added benefit of reducing the rear axle load by approx. 75 lb. and allows for quick access to the spare tire.
Also as the truck's GVWR is over 10K, no TPMS were installed at the factory. In order to monitor my tire pressure "real time", I installed an ORO TPMS with internal sensors as I did not want external valve stem sensors. The ORO not only measures tire pressure but allow the user to set min and max tire pressure warning, measures tire temp and voltage output. It is extremely accurate within +/- 1 lb. When I first installed the ORO, I thought it was defective, it was not, 2 out of 4 of my pressure gauges were. I verified the accuracy with a brand new gauge as well as a new Viair dial gauge which came with my portable compressor. This isn't a cheap solution but the peace of mind was worth it to me on my SRW truck.