Hopsa amuk! Here you have suggestions for nice tours for half the winter.
I'd just like to comment. If you are really beginners and want to hike in the mountains this winter, then just get gaiters, because there will surely be snow. They're not that expensive.
As for Snežnik, I've been up there several times in winter and the last slope before the hut is usually icy and slippery. I was always without crampons, but would have been happy with at least chains there.
And fog is not for messing around in winter when everything is white. Everything looks the same and you can get lost quickly. A friend bivouacked in fog and snow on Vogel 10 meters from the chairlift tower. In fog he just didn't see it and rightly decided to bivouac rather than wander off. What you see as a cloud from the valley can easily be fog at higher elevations.
After a few nice tours it will probably hook you for good, and you won't be beginners anymore and will have gear too.
Happy hiking and lots of enjoyment!:

