I had a 2014 2500 with the 3.73 gears and now I have the 2016 2500 6.4L with the 4.10 gears in it and I can tell you I can tell the different in the two. My TT is about 9,500 to 10,000 lbs ready for camping and it pull it with no problem.
The wife and I went camping about a few weeks ago and where we went had some hills, here in the PNW a few hills here, and I just wanted to see what kind of mileage I was getting and even though the trip was about 150 miles I was getting 9.1 mpg.
Now all of it wasn't hills but about half were, so I was please on what I was getting. The test is going to come when we travel to Las Vegas this September, which is about a 1,200 miles trip but I can't wait.
We will keep the setup for a few years, after we pay ours house off and then we will be getting a fiver and maybe a 3500 CTD, what the heck.
I will revisit your need and maybe just see how it work out for you when you do travel up in the hills, I believe that you will be impressed, let us know what you decide.