The newer trucks seem to have higher bed sides than before, my 2004 ram 3500 has about 6.5" clearance on same trailer.
until you decide on a trailer, it is kinda unknown as to what clearance you can expect. Depending on the suspension of the trailer, some can do an axle "flip", some can have longer shackles, some like mine have to have the suspension dropped and a steel tube spacer installed.
Mine has the MorRyde IS suspension sytem, and like rubber torsion axle systems they do not have equalizers like on leaf spring trailers. Leaf Spring trailers are more tolerant to being towed unlevel due to the equalizers, they help to even the load between axles. If my system is towed high in front the rear axle will be carrying more of the weight than the front wheels.
Spencer & Tracie RVM#62
2013 RAM 3500DRW 4x4 Laramie, Cummins, 385HP,850FTLBS Aisin Trans
2014 DRV Elite Suite 41RESB4
Spare puller:2004 RAM3500DRW Cummins (DW's truck)