The past two nights we have been giving tyre studding workshops at the bike co-op and this week has brought us a mix of the worst possible weather and road conditions save for freezing rain... when it is -25 we don't get any rain.
I don't know where the OP lives and rides but will say that my Extrabike that is rolling on 2 inch wide knobby tyres that have generous studding don't get stopped by very much at all and is extremely stable on ice, packed snow, and will blow through oatmeal snow and brown shugah.
I built that front tyre 3-4 years ago but had not used it much on this bike... it works extremely well.
Tomorrow we are supposed to thaw out and things are going to be be warmer and things are gonna get slushy... and then things will freeze overnight.