I don't think you're going to find something 4WD/AWD that fits inside of 14ft.
On the other hand, I think you'll find that a Mini-Cooper with ABS and (when necessary chains) will be able to cope with most things. And it's quite safe despite it's size - it's really made by BMW. As a small station wagon, it's got more cargo room than most small cars.
IF you're going to go with an internal garage, and there are definately advantages, this would be my top choice.
If you want something that costs less, get an old Honda CRX and have it overhauled professionally. You'll still be into it for less than $6k - $8k total. Won't be as safe as the Mini-Cooper though.
On edit: I checked the Mini-Cooper site (
http://www.miniusa.com) - you can get "dynamic stability control" (mainly a traction control system) and a limited slip differencial. Together and in a car that size, they'd be a decent compromise instead of AWD.