Rendering snow is very problematic because:
Snow in reasonable distance (>2m) can be easily faked with overall bump and SSS. Snow from up close won't be looking good unless you physically model individual snowflakes - at least approximately.
Now, there are solutions to render good looking snow up close, and good looking snow in distance, but good looking snow from up close takes tremendous amount of rendertime and RAM. So when you need to see snow closeup and distant snow in one shots, it can get little problematic, especially in animation where you zoom in to the ground and close up on the snow surface.
If you are doing stills, it could be manageable though.
Here's the result I've got:
And I am also attaching scene, but it's Max 2016 and you will also need latest daily because of vector displacement.