Keep in mind the traction control system on the LR4 is excellent. If all you are dealing with is the occasional muddy dirty road or grassy field, a standard all season tire would be adequate. AT tires can be picky if they are not properly cared for (rotation, PSI, alignment...), and can quickly deteriorate the ride quality.
I go out in the Maine woods maybe 10 times a year with the occasional LR event in between so the ATs, for me, were a no brainier. I also have a dedicated set of snow tires (which do great on the trails as well). This year has been pretty mild, but it's Maine so you never know what precipitation the day will bring.