Winter Tyres should be here tomorrow anyway but this would be worst case scenario. I work at the bottom of a steep hill and mh Z4m is my daily. My mates 3 series struggles every year.
Used them last year to get out of tight spot coming home from work in the early hours. A right pain to get on if you've 18" wheels, but they do work! Wasn't convinced they were on properly, and had visions of them flying off, but they seemed to self-centre on the wheel after a few revolutions And yes, you do need to take them off once you hit tarmac, but that's a simple job compared to putting them on .
Supposedly good at what they do, but a complete faff in the same way as snow chains are. Better off with winter tyres that you don't have to fit/remove between patches of snow and cleared tarmac. It's very rare in the UK that surfaces are completely snow-covered, so you spend more time fitting/removing the socks/chains than you do driving