If money is not a problem, throw some winter tires on and buy new wheels with summer tires next spring!
In general, I would keep my car off the road unless I had no choice but to drive it. Besides being more dangerous to drive, all the sand and salt on the roads, plus the terrible winter drivers in our area, are added risks.
I had an '04 G35 several years ago, and it was terrible in the snow with the stock tires. I got a set of the Dunlops and it was very reliable in small accumulations of snow.
OP, where do you live in MOCO? I'm in Bethesda, and I'm always looking for more e92's but everyone on these forums who likes to do anything seems to be from NOVA.
2009 Melbourne Red E92 M3 (Gone, but not forgotten)
2007 Black Sapphire Metallic E86 Z4 M Coupe (Gone, but not forgotten)