I've run Specialized Crossroads in 1.95";they're heavy,but roll well and are decent in snow. Also inverted tread tires like Serfas Drifters or Conti Town & Country do ok in snow.
If it's icy,I def run studs,but for just snow treaded tires will do ok.
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C'dale BBU('05 and '09)/Super Six/Hooligan8and 3,Kona Dew Deluxe,Novara Buzz/Safari,Surly Big Dummy,Marin Pt Reyes,Giant Defy 1,Schwinn DBX SuperSport,Brompton S6L/S2E-X/M6L-X/S12 T Line