I would absolutely 3rd or 4th the suggestion for winter tires. If you're going to be stubborn about this, you could very well get a tire like the Dunlop Wintersport 3D's or Nokian WR. Both are basically decent all season tires tuned slightly for snow.
Again, if you're wanting to fidget with compromise in a single tire for your higher performance car that will somehow do well in temps ranging from negative 10 to 110, God help you, but you might look at the Goodyear Eagle F1 AS, which has had some pretty positive reviews, and has a $50 rebate now at Tire Rack:
http://www.tirerack.com/tires/tires....+F1+All+Season
Or the Michelin Pilot Sport A/S, worth a good look.
Don't waste your money with the ASX, I'm running on my 3rd set of Kumho MX summer tires now, but I've not heard as many happy customers with the ASX.
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