You have to wait awhile after unplugging to get the correct "at rest" reading, perhaps 30 minutes. Also make sure there is no parasitic drain occurring.
That is the weakness in these Rams, they will pull a lot but carry little. My 2014 Ram Sport is almost identical to your, 3:21 rear/8 speed auto/hemi/#1350 capacity. I tow a 4300# fiberglass 21' trailer about 8,000/miles a year and average 13-14 mpg ...
Does anyone have a tonneau cover that can be used closed, while towing? I was thinking of cutting an access hole in mine and keep it closed for better aerodynamics....