Right now, there aren't any "real" electric off-road vehicles (at least available to consumers). There's a handful of SUVs, certainly, and most electric vehicles are all-wheel drive - but no one would seriously think you could take one of these, lift it 6 inches, drop some 35's under it, and go off exploring Moab.
I'm sure that there are some people experimenting with more capable off-road electric vehicles (if nothing else, taking a Jeep or something and putting in place an electric motor and batteries might be a start), but right now battery technology just isn't there for real electric off-road use (the rest of the technology certainly is, though - if the battery tech can catch up, it might be a renaissance for off-roading due to the tech alone).
What I would hope or like to see would be an autonomous electric off-road vehicle that could drive itself to where you want to go, then allow you to "take over" to drive out in the "back 40" area (or whatnot). Perhaps it could have traction and steering assist, plus other methods to keep you safe (or allow you to turn off all of that to let you go at it by the seat of your pants if you want). It could even (perhaps) have a "training mode" where it could help teach you how to handle off-road conditions. Or - for those that want the "off-road" experience but not the effort, just tell it where to go, and it follows a trail using GPS and such to get you there. Once there, charge the car from solar/wind and/or a portable generator.
Regardless - all of this is not really talked about, but I do wonder what the effect on such activities will be, both in the short and long terms.