My one ton is a little longer, but otherwise very similar to yours. I have no idea how new trucks ride, but I know a bunch about old trucks.
Have you looked at the steady bearing? If there's any reason to replace it, do so. Try also putting a 700 - 1000# test load just forward of the drive axle, and see how that feels. If it makes a big difference, then yes. By all means screw with your tire pressures, and if that doesn't help, then get your springs overhauled. Removing one or more leaves will soften up the ride and remain safe if you don't load her, and there are teflon thingies they can put between the leaves to ease travel.
My truck feels its very best with 1000 - 1500 lbs low in the box. She wants to behave like a sportscar.
