I know they make CR-Vs with 4WD, I would probably go for that instead of AWD. But I'm far more inclined towards the Subarus since I've seen so many on the mountain.
Generally vehicles won't be offered in both 4WD and AWD versions. AWD is what you'll find on CRVs, RAV4s, Subarus, Celica Alltracs, etc.
4WD is what you'll find on 4Runners, pickups, etc.
The main difference is that usually 4WD will come with a selectable transfer case (4 hi, 4 low, 2 hi). The transfer case usually locks the front and rear drivetrain, and that combined with some form of lcoking/limited slip front and rear diffs can actually result in a vehicle that will drive all 4 wheels.
AWD systems vary but generally offer some sort of torque splitting centre diff, and sometimes LSDs in one or both front/rear diffs.
For snow driving, there's basically no difference between 4WD and AWD, and the tires and driver make a larger difference than either system. For off-roading, 4WD > AWD any day...