What is a Tiger III?
Sorry, it's a Panzer III.
Second... don't take your German tanks out in the snow. Panzer 3-4s' tracks are too narrow for anything deeper than an inch and you'll risk tearing off your idler or mashing up a gearbox. Tigers and Panthers interleaving road wheels are terrible in the snow as they get clogged up and cause the same issues.
The PIII and my Sherman went through it like a champ. Sherman bogged down a couple of times (it has narrower tracks) but it's all light snow here. This is Alabama.
Here are pictures of my Sherman and my son with is 1:24 tiger.
http://imgur.com/a/5Jnx5
I love seeing tank tracks in the snow.
Steve