While there is a side-by-side difference in sidewall stiffness between a C or E-load in a given tire, from the driver's seat this difference will be very hard to detect, especially when compared to the difference in minimum pressure required between your stock P-metric and any LT-metric tire. That and increased mass is where the bulk of the ride quality hit come from.
Which means it's up to you. If you are going to an LT tire, you could go C to claw back a negligible amount of ride quality, or go E for the (marginally) increased toughness knowing it doesn't add a whole lot to the ride quality hit.
For some people, there are other things to consider.
The tires I run were available in both (and P), and I went C, knowing I rarely tow and spend more time on the road getting to the trail than actually on it. For the record from my standpoint the marginally more flexible sidewalls of C translated to better fuel economy and given my roadtrip style.. that was the nail in the coffin for E-load tires in my case. It may be hard to detect the difference in fuel efficiency but over the lifespan of the tires, given no clear benefit to E for me.. C-load it is.