I'm currently running 285/60/18 all-terrains on my LR4 which is 31.46" according to the manufacturer and 31.47" according to a tire calculator. I rub occasionally on the front frame horns. I ground them down a bit but I still touch occasionally. I'm planning on going with a 275/65/18 MT which is 32.09" according to the calculator but most manufacturers are showing more like 32.1 all the way up to 32.4. The General Grabber X3 specs at 32.07 so I may try those. I'm also researching the strut spacers (Lucky 8's SYA kit).
Are there not steering stops to avoid this rubbing. Guessing not.