There are two vastly different versions of the F350. The single rear wheel version uses the same springs (and pretty much everything else) as the F250 and certainly doesn't need an air hitch. The only difference between them is the 4WD version of the F350 uses 3.5" blocks between the axles and springs, while the 4WD version of the F250 uses 2" blocks. So you'll need more drop on the F350 hitch. This difference doesn't exist in the 2WD versions.
The dual rear wheel F350 has MUCH heavier rear axle and springs and I definitely would think about a cushioned hitch. As a young RV tech years ago, I saw cracks in the A frame of a quality SOB the more experienced techs attributed to being towed by a dually. In this case, search for posts by Femuse, who put an air cushioned hitch on a box truck they use to tow their Airstream to festivals.