I use General Grabber AT3's in that size, and they are (for my X3..) the best I have ever used. Tarmac/motorway they are fine and quiet, rain they are excellent, ice they are as good as I have ever driven and snow they are fantastic (5" of fresh snow up the hairpins to Alpe D'Huez). I got 32,000 miles out of the last fronts and the rears are still going at 35,000.
They are "3 peaks" winter rated and won the AutoExpress winter tyre test a couple of years ago.
Never used them in deep mud or on an off road day but I do a reasonable amount of "greenlaning" on Grass/Gravel/streambeds etc. and keep up with my mates in their Disco's...