For on AND off-road snow use, yes, BFG All-Terrains. They are rated for severe snow conditions (the "snowflake on the mountain" symbol), and have the tread, siping and overall design to deal with snow and slush on paved roads, deep snow off road, and even the mud and gunk you get when snow meets dirt.
*IF* you were to use these ONLY off-road, and there would be NO use on paved roads during snow or wet weather, then sure, Mud Terrains would work good. The problem with mud terrains in snow/rain/anything on pavement is, they have little to no siping, which basically makes them like you're driving a slick tire. Not good. Anyone who's run muds during winter and driven on the road in snow will tell you it's not for the faint of heart..or those who can't deal with driving sideways.
Since it's your daily driver as well, I say BFG AT hands down...unless you just want to run a mud tire for the heck of it.