While I don't own a V10 Ford, but after having had a vehicle with the tow/haul mode, always, always use the TH mode when towing and/or in the mountains.
It changes the shift points for the better and raises the line pressure in the trans for firmer shifts, (among other things), to help keep the heat down.
Since you didn't say which year your PC 2350 is, I'm assuming it's a newer one with V10 engine specs of 420 ft lbs of torque at 3250 rpm and 305 hp at 4250 rpm.
Your 6.8 is an OHC, (overhead cam) gas engine, and they thrive on rpm to make their power. So I feel like you should be running your engine at somewhere between 4200 to 4400 rpm in whatever gear, with tow/haul on, you need to maintain safe speed at that rpm without using the cruise control. Just hold it there till topping the crest of the hill. This is what I would do.....