The A/T3 also comes in more "LR3-friendly" 265/65 and 265/60R18 according to Cooper's web site. The latter will be pretty much stock size, so no rubbing issues, easy to fit the spare under the car fully inflated, and your speedo will remain accurate, but at the expense of less sidewall of course. The 265/65 will still fit without mods, although you may expect some very minor rubbing here and there at full compression or steering lock, which should diminish over time as the tread wears a little. Also, the spare will likely be a very tight squeeze under the car, it should fit but most likely only if deflated a great deal and with the heat shield between spare tire and exhaust removed.
A/T3s are Standard Load only in those 2 sizes, no XL or LTs are available in 18" (the 275/65s can be had in E range, but like mentioned above some mods will be required to fit them on an LR3, and you will have to store the spare on the roof or in the trunk - too big to put it under the car.) Other than that, they are reportedly great all-terrain tires. Overland Journal raved about them in a recent comparison test, even versus more established names such as BFG.