The best thing you can do is have the widest tread you can get with say 33x12.50 to 33x15.50 wide tires. The people of Iceland run huge 59" tires with minimal lift to sit on top of the snow when they take trips to the glaciers.
My suggestion would be to add a 4" lift and run TSL SX 33x15.50 tires or any other wide tread tire and air them down for a larger footprint.
How often would you be running in this deep if snow?
2000 Solar Yellow TJ Sport, 4.0L, 5 speed, Rokmen Belly Up Skid, 35" MT Baja Claw, TNT Guardian Bumper, Chopped Fenders and Hood
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1989 Black YJ, 1979 Blue J10, 1969 VW bug Drag Car, 1995 Ford Probe Road Race Car, 1994 Ford Bronco 351W... all previous projects!