Get an old 3 spd. as an "ice bike." The fenders and chain guard are great for keeping you clean. If you gear it down, you can use it in the hilliest of terrain. The tires are actually pretty good for pavement and snow. Its virtually maintenance free.
Heck, just use a 3spd all year round to commute. Fast, clean and maintenance free.
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Il faut de l'audace, encore de l'audace, toujours de l'audace
1980 3Rensho-- 1975 Raleigh Sprite 3spd
1990s Raleigh M20 MTB--2007 Windsor Hour (track)
1988 Ducati 750 F1