I've had good results last winter with the E load rang Michelin LTX M/S 2 which is winter specific compound and much more siping than the AT style like BFG or Duratrac, both of which I've also used.
If you do not get a real winter tire, definitely have the AT tire you choose extra siped byu the tire shop. Do not use a shop which doesn't know what you're talking about either, especially in Maine or Colorado, there's no excuse. The additional cross cut sipes by the machine can really improve these AT treads for winter mainly in the stopping and acceleration control.
You should also look into the Nokian options though, at least just for sake of learning what's out there to choose from. They make some sweet tires that work better in changing weather. For example, the WRG2 was absolutely incredible on the Audi in deep snow with great control. There's an "suv" version of several of their tires and while not an "LT" level rating on some of them, they are at or above the factory spec for load range. Assuming your lr3 is essentially in stock form, i.e. not terribly heavier than it would be with 7 people seated, then you're fine to use the 109-114 load tires.
I've run the WRG2 on the Audi and last winter started a new set of the best non-studded the Hakkapeliitta R2 on the BMW xi wagon. Both cars are awd, 6 spd, heavy, and with lots of torque so the grip is noticeable and appreciated. These were ************ last winter on the BMW:
http://www.nokiantires.com/winter-tires/nokian-hakkapeliitta-r2-suv/ The Hakka- R2 SUV 18" is available in 3 XL sizes you can fit are perfect. Go stock size if you want to run chains, bigger if you won't and just want the most clearance possible and the load rating increases a little too. The fuel economy on the Nokians will also be significantly better than the BFG or the Duratrac, significantly, at least 10%, maybe more depending on the size. My lr3 gets 20 mpg easily while averaging 65-70 mph on rolling interstate. 21 if never over 70 mph. But I'm also running ethanol free fuel all the time which accounts for 10% or so.
There's also, I just remembered, the awesome Nokian Rotiva. For your geography and vehicle I think it is prefect really.
http://www.nokiantires.com/winter-tires/nokian-rotiiva-at-2/ It's going to be much, much better in snow and ice than the Duratrac but it won't wear down terribly if you ran it through summer too. There's even a size you could use with no worries at all 265/60x18 114T XL. Something like these should also track better in the crappy, slushy - edge of the road - stuff.
It's really nice to have a dedicated winter set so consider it too. The up front cost may seem like it doesn't make sense, especially with a 2nd set of wheels inside the tires
but the math actually works out in the long run just fine. You won't be able to use a snow chain on an oversized tire like the 31" or 31.5" and sometimes, the chain is exactly the best thing. Therefor, the way to "have it all" is big tires for summer and stock size-ish for winter which will also allow a chain to fit.
This plan could also buy you the time to wait for the presumably awesome new BFG KO2 in a size you can fit. It is my understanding that the 275/65x18 is to be available in a few weeks. Not sure when the 265/65x18 will be but most sizes are supposed to be ready by spring.