So your thinking it’s tire related and not driveline?
unlikely it's the drive line, On my truck the drive line is spinning at 34 Hz at 60 MPH, any vibration you feel has to match the source, vibrations cannot change frequency during transmission. To further reinforce this, your truck has a 3.92 rear end so at 60 MPH your drive line is spinning at 41 HZ. It's very unlikely that 2 trucks experiencing vibrations at the same speed would have different vibration frequencies. We both have 275 55 20 tires spinning at approximately 10.5 Hz at 60 MPH. Tire angular velocity is directly proportional to drive line angular velocity by the rear end ratio. Vibrations that you feel are the result of resonance that's why it starts at a certain speed then disappears at a certain speed, in this case 57-63 MPH is 22 Hz. If it was drive line related you and I would experience the same vibration at different speeds. in this case what you feel as a vibration at 32 MPH I would experience at 39 MPH because of the different rear end ratios. This doesn't mean the issue is the tires, it can be anything that rotates at the same angular velocity as the tires. Front CV shafts on a 4x4, Rear axle shafts and ring gear, brake rotors., Force variation in the tire itself, radial or lateral run out on the wheels or brake rotors, or any combination. That's why you always prefer first order vibrations, they are caused by a simple mass imbalance. one guy on this thread mentioned having his tires road force balanced which can help but only if they get below a certain number. generally 25 lbs is the number for truck tires but sometimes you have to get the number below 10 to fix vibration issues.
The first thing to do check your tire pressures with a good gauge, don't rely on the TPMS, try to set pressure with the tires cold during the coldest part of the day to account for pressure fluctuations due to temperature change if that doesnt work. Next is have the dealership balance the tires and see if it fixes the issue if it doesn't, make them do it again until they are forced to RFB and vector match the tires or replace the tires to get the force variation down far enough the vibration goes away. If super low RFB numbers and verified balance don't work you have to start looking at hub run out. It really is a giant pain, trying to chase vibrations. You could always pull the drive line and have it checked for run out and balanced to verify that's not the issue. If you don't want to pay or pull the drive line you can use the hose clamp method to check for drive line vibrations, just google it, cheap and really easy to do. You could have the dealership go through all of this but instead of investing a few hours of your time on a weekend they'll end up having your truck for days or weeks at a time to trouble shoot. I also think there are far less good techs than not so good and NVH issues are not going to get solved by an 8 and skate type tech you have to get lucky and get a true gear head working on your vehicle. Most dealerships probably do not have the tools to balance a drive line anyways and would likely have to send it out, but at least it's on their dime and not yours.
First thing I'm going to do is set my tire pressures at 40 PSI.