There are proceedures for operating off snow and ice. I live in Canada and for ~6mo of the year..
snow and ice are a reality. Most of the time the runway is 90% bare and dry, 10% compacted
snow and ice. This is also why there is JBI [James Brake Index] testing done every hour to give
pilots an index of what the braking performance is. I've landed a 414 on a very icy runway w/ a
fairly significant cross wind [I think it was 12mph gusting ~18 or something.. ~30-45deg off centerline]
It gives you the Heeby Geebies for the first second or two while you get a feel for what is going on..

As long as you do the numbers and apply that to your runway you should be ok. Land on the upwind
side of the runway to ensure you have access to the max width due to any drift that might happen
prior to full directional control w/ the wheels on the ground.

If all your used to is So-Cal type flying then maybe you should stack the odd's in your favor and
make sure your first experiance is on a runway which is 50% longer [or more.. pick a number your
comfortable w/] than what you calculate you need [based on JBI and x-wind] and try it.. be ready to
go around at any point if it doesn't feel right.

If you don't feel you or your airframe is capable of the proceedure..  fly south [warm w/ sunshine],
not north[snow & sunshine :) ] and go/land where you feel comfortable.

Fwiw

Jarrett Johnson
235/320 55%