Another option for Ice screws
http://www.mf44.ca/en/index.asp
For racing I'd go with the tires linked, for general riding any flat profile tire will put enough studs on the ice to do what you want. I did a set of 18" lawn mower tires and they work just fine for what I need. Used them twice in the past 4 years so I didn't want to tie up a lot into it. Slimed them when I did it and they haven't lost any air in the 4 years.
Ross..
My Rides
1985 250R original (Garage Queen)
-under restoration
1985 250R black and blue full rebuild ( Daily Rider)
-Paul Turner pipe
-+2" Westcoast
1985 Red and White Tecat-EH Sold
1985 Green Tecate Sold
My Wife's Ride
-2003 Suzuki LTZ 400 Showroom fresh and completely stock
My Kids Ride
-2004 Yamaha Blaster, Completely Stock
-2006 Yamaha Blaster, Completely Stock