Just some more grist for your wander mill. When I loaded the camper on the truck for the first time, i noticed the truck now wandered more. then I started loading up the front end with a big winch and winch bumper. Still wandered. The fix was not unknown to Dodge Ram people and consisted of a cross bar, similar to a frame member that attached to the steering box with a big bronze bushing. The problem was the frame would twist under load from the steering box. This helped quite a bit.
Otherwise, it could be a lot of things, as mentioned above. The F450 has a very stout frame, so I don't think it's like the earlier F250's that had a lot frame flex. Check the steering box and tie rod/drag link, leaf spring bushings, centering bolts, by having someone turn the steering wheel, slowly, lock to lock (at idle) while you, (gulp) crawl under there and see if anything is moving that shouldn't be moving. This how I found out about the famous Dodge steering box flex problem. Tires make a big difference in wander. Try airing up a bit more, or airing down a bit. Maybe you can find the sweet spot. I did this. I found if I had the fronts at too high a pressure the wandering increased. Uneven tire wear from bad alignment/caster/camber could be part of the problem. Front wheel bearings, AKA 'unit bearings' on a Dodge are notoriously underbuilt. Do you have the AAM front end?
Jack the front end up one wheel at a time and roll and wrestle with the tire to see if it has ANY play on the spindle. If so, do a wheel bearing service. Fact is, each mfgr. has a few achiles heels that must be delt with.
jefe