I had 245-75-16 lr E tires stock on an 88, 96 K3500's. I went to a 265-75-16 LR D. Those handled towing, hauling etc better than the 245's. So a rig with a lower ply rating is not an absolute worst option. The 265's in reality had a whipping 40 lbs less capacity.
Later the D rated tires were discontinued for R rated tires at 3400 per vs 3000. For my use, usually no higher load in RA in the upper 5500-6000 range. No difference between the two.
On my 1500, I only have 35 lbs in the 285-65-18 tires on it. I could only get LR E in this size. I don't use but 1/2 if the tire capacity. In my case aP or XL/LR C rating would work just fine!
No matter the truck size, you need to get the load capacity rating in the tire size you want to run. So like my 3500's going from an E to a D was not an issue.
Also make sure your rims are wide enough if you go to a wider, or higher aspect tire. That also makes a difference in handling.
Marty