My 2 cents...I tow with a 2012 Titan SL Crew cab. My payload is 1477 lbs. To compare my trailer to the trailer you referenced it is 6000 lbs dry, 675 unloaded tongue, and 33' bumper to hitch (the box is 29').
The Titan tows the camper well. I never feel like I am compromised. It has plenty of pulling power and it is stable with my Blue Ox weight distribution. It is mainly flat here except when I drive through western Mass to go to the Catskills. It pulls up the hills on the MassPike without loosing speed. It is interstate and I stay at 55mph up the hills. I wouldn't tow anything with much larger dimensions/weights, but it sounds like your set up would be similar to mine.