I like the Mobil synthetics, available in both 75w-90 and 80w-140. If you don't tow heavy and hard a lot I would use the 75w-90, plenty of thickness with cooler running and better economy. If you tow heavy and hard I would put in the 80w-140. Mobil is easy to find if you need a little more, cost is reasonable, and works great. Some of the other suggestions you are going to be for products that are hard to find and very expensive. I have yet to see testing that proves they are any better.
If you have the LSD buy a bottle of the Mopar friction modifier from a dealer, at less than $8 if you don't need it you are not out a lot.