First off, those tires aren't all 12" wide, lol. 285 is 11.2", 295 is 11.6", 305 is 12", and 315 is 12.4"
I have the 285/75r18 (35x11-ish) and I am itching to replace them with something wider. The low tire pressure required to yield a comfortable ride is too low to give you solid highway handling. Pump them up to give you confidence on the highway (we're talking highway with bends in it) and they ride like bricks. I think wider construction would help with this problem. It may also be partially a Nitto issue.
Just my preference, I would go with a wider tire on a 17" wheel. 35x12.5x17 because they are cheaper than 18" sizes, and you can get pretty much any tire in this size, including C and D load ratings if you prefer a comfort ride. 315/70/17 is almost the same size as 35x12.5x17 (just fraction of an inch smaller), so that would be fine too if you find a good deal on a tire you like.
Since you have an LC and not an LX (I'm assuming) you'll need KDSS relocation brackets to fit either of those wider tires, and a wheel with the perfect offset. The rest should just be customary wheel well work. My 35x11's were pretty easy to fit up, but it is apparently easier to run bigger tires on a Lexus compared to a LC.
Lots of LC guys run the 285/75/17 (34x11) and swear by it. I would prefer something wider myself.
Nobody makes a 305/75/17 that I'm aware of, but that would be a great size! You can get a 305/70/17 (34x12) 305/70/18 (35x12) or 305/65/18 (33.5x12)