The numbers shown on the door jam are sufficient to get the load rating for the vehicle. The number on the tire is the maximum pressure you can safely use in it. SWR use is usually at the max listed on the tire. On a dually, the only thing you'll gain by going to 80 psi is a slightly stiffer ride (probably won't notice this unless your springs are really compressed) and crowning in the center of the tire. This actually reduces the control because not as much rubber is in contact with the road- stability won't change, and you're likely to be hurting the vehicle performance by overinflating.
On any vehicle, to obtain maximum traction and control, you have to match the load to the tire's contact. The best way to do this is to load the vehicle, then take some chalk and make a mark about an inch wide across the tread. Drive straight for 10 or 20 yards (may have to adjest the distance depending on the roughness of the surface), then take a look at the remaining chalk. If its worn away uniformly, the tire is at the correct pressure. If there's more left in the center, the tire is underinflated (edges are carrying more of the load). More chalk left on the edges shows crowning, soi you need to reduce the pressure. Adjust the pressure until you get uniform wear. Do this for both front and rear tires. Unless the load changes significantly from one trip to another, you only have to do this once, then use that pressure next time. With my setup, there's about a 10 psi difference in the rear loaded versus unloaded; front is pretty much the same.