As one that tows on the heavier end, you won't be towing anything on the 200-series platform that's going to exceed the capacity of a Load Range (LR) C tire.
Interesting story - during Ford Raptor development, KO2s were spec'd for factory fitment. BFGoodrich at the time only had LT315/70R17 in LR-E. Engineers were not satisfied with the ride quality provided by this tire. As a large enough client, Ford provided BFGoodrich with requirements for a LT315/70R17 in LR-C. Hence the existence of this tire on the market, in a size where you'll generally only see LR-E options available.
Load ranges do not necessarily always equate to durability as it did historically. Ply "rating" is different today, where previously it did literally mean the number of plys. Load range speaks more specifically to structure - the ability to support higher inflation pressures to carry a load, and keep the tires within an envelop of operational temperature.
If you look at some tire sizes available in both LR-C and LR-E, weights can be very similar with the possibility of the LR-C tire to actually be heavier. This may suggest it has as much plys, sidewall, and potentially similar durability. The difference is likely more in the high tensile wire - tighter pattern, heavier gauge, rather than a lot of difference in the sidewall plys.
Depending on your use, it may be a good trade for better ride quality to use a LR-C tire if available. Independent of Load Range, not all AT tires are created equal. Some models have notably better ride quality and NVH than others.
That said I'm with @gaijin and prefer to use a LR-E tire for my purposes.