Are you running 19" or 20" rims? since you mentioned Pirelli's, i would imagine you are running 20's. Unfortunately, there are not a lot of options for the LR4, especially due to the large brake size.
One option you might consider is Johnson Rods. They allow you to "lift" your vehicle by tricking the air suspension to run in off-road height all the time. This is accomplished by changing out a rod which controls the air suspension height. I have not purchased yet, but am strongly considering. Visit the website for more details. While you are on the site, check out the handy tire size chart. I have included the link for your reference:
LR3 Tire Size Chart