You shouldn't have any problems with that rig. All the steepest hills have extra lanes for trucks. It's almost all uphill going north though so be prepared to be pulling the whole way. Coming back is way easier, lol! It is a pretty scenic route too with some rest areas. Cell coverage is pretty good except for one short section.
I had a 2013 f350 crewcab. 6.7. It was totally gutless dragging my Voltage 40 footer w 12’ garage. Any steep climbs that truck wud be crawling to get over the summit. Bot a 2017 f350 crew cab.w the new engine. New body!! Banggggg. That truck rolls over anything without even breathing hard. And. You HAVE TO HAVE AIRBAGS!!!! Don’t fool yourself. Gotta have them.