Blizzaks ARE good

Another good tire, if you don't want to go quite that far is Nokian Tire. The make what they call an "All Weather" (vs All season) radial that actualyy has a Mountain and Snowflake rating. Most "all season" tires are optimized for good weather, and are "OK" (hahah) in snow

Nokian went the other way - a snow tire that is OK in the dry. NOT inexpensive, but do hold up better than the Blizzaks (I don't know about current Blizzaks, but part of their trick was that they used a very very soft compound, and they were great until they wore down to the somewhat hard compund below)