For Ram, you get a choice. It is either the 3.21 or 3.92 axle. Either will pull what you are describing easily in the 3.6 V6 or the 5.7 Hemi. The tyranny compensates well. Mileage can be much different based upon configuration. I avg 14 with the 5.7/3.92 4WD and E rated tires. This worst case scenario as I have the discontinued Outdoorsman (light off road package). Best is 2wd version 3.6 at 24 on the highway.
Whatever, get LSD (limited slip diff) AND IGNORE any salesman who says otherwise. The 3.6 might be a subjective issue with your screaming issue but would work well. Drive all and try. The 5.7 is nice and the growl is something I enjoy. It would likely check all your boxes. The 3.92 rear end is about 3 to 4 mpg. With regular tires and the 3.92, you will be in the 18 19 mpg avg. This is all based upon your stated trailer weight and other info in your post.