Since my friendly family tire dealer switched from Cooper to Bridgestone as their primary brand, I would probably choose Firestone Transforce HT. Had they gone to Goodyear, my choice would be Wrangler HT.
OEM is Michelin LTX M/S2, which I find to be a great tire in this class, but somewhat overpriced. The Load Range E is a different tire, extra body ply, from the tire with the same name sold in lighter weights for the 1/2 ton and SUV markets.
Michelin, Bridgestone, and Goodyear all make some Load Range E LT tires with all-steel construction, which I would choose for my motorhome (most recent replacements were XPS Rib) but I prefer the smoother ride of the polyester body tires on vehicles that are not all the time fully loaded, and the tires are a lot cheaper.
I consider the choice of a good full service tire dealer more important than tire brand, so I'll go with the major brand my dealer carries. Goodyear/Dunlop, Bridgestone/Firestone, Michelin/BFG/Uniroyal all produce equivalent tires, and other European, Japanese and Korean manufacturers have satisfactory equivalents covering some part ot the market. I like the majors because I've figured out where their different tire models are positioned.
If you are buying from big box stores with no expectation of service, you might choose on nickel and dime dufference in prices, so long as you understand what that price includes, because warranties and service policies are alway part of the sale price, whether itemized or not.