A friend and I did something like this a few years ago with the local Audi club, Glacier Lakes Quattro Club.
We were on normal winter tires, with my 911 on Blizzaks and my friend on some Pirellis with his 944.
Would have been a lot more fun with studded tires..just getting moving could be a pain.
My only beef with the 911 - and as anyone who drives one of these in the snow can agree - the heat exchangers get plenty of snow inside..carry a rag to wipe the window..