We went the opposite direction. Started pulling our Winslow with a 2012 GMC 3500 single rear wheel with the standard (6' 8" bed). It was great on smooth roads but we were pushing the load carrying capacity of the truck, especially on the rear axle. We had a pin weight of almost 3k pounds. The problems came on the rough, uneven stuff. We would get quite a bit of bucking, chucking, whatever you want to call it, even with a Glide Ride pin box. It was bad enough on occasion to scare the wife. Other than that, stopping, accelerating, stability, etc. were all good. I would suggest checking the weight that will be on the rear axle. We changed to the dually and all is good. It pulls and drives very similar to the 2012 but the ride is so, and I mean so much better. The big difference is the 2015's are so much quieter inside.
Another issue to consider is the turning radius you would have with the shorter bed unless you get or have a slider hitch. Our Winslow has the indented corners on the front cap to allow for a sharper angle but I can see your HR does not.
The 2012 had the DEF as does my new one, of course. I consider it a non issue. I am not aware of any problems with the DEF system on the new models. The drivetrain is basically the same as the 2011. I can get 6 to 8K miles before I need a fill up. I usually carry a 2 1/2 gallon box of the stuff from W-Mart when we travel.