E rated tires are pointless on an Explorer unless you are just doing max towing capacity most of the time, with all the stuff for the max towing ability for an Explorer. (V8, low gears, etc. etc.) As mentioned, they are going to ride rough even with low pressure, and will probably suck mileage even worse than a regular M/T with the additional weight. It doesn't sound so bad at first, but it gets old after awhile. Even more so on a daily driver.
The main reason BFG makes that load range E M/T is for the full sizes and duallies that want the fashion of a the M/T even though they just tow on the road. I suppose it would make a lot of sense for a contractor or construction vehicle that needs the load capacity and the traction in dirt and mud, but they seem to go with commercial-grade tires, and usually highway or all-season treads at that.
I would stick with C range tires, or D's at most, for an Explorer.
If you're getting E rated tires because they are free or super cheap, maybe the rough ride and additional weight will be worth it, but if I were going with a deal like that I'd rather flip them for a profit and then get the C/D range tires.