Any all season/winter, all terrain that meets budget, you're not doing 60mph+ some might be noisier than others but generally you gets what you pays for
If you going Alpine you may need chain as well as a lot of the Alpine roads in winter are 'with chains only' roads, when i lived in Kiel in North Germany we had summer tyres and winter tyre on a set of wheels ready to go , generally M&S, but a lot of other had spike tyres, I not sure but they may be banned now, as the roads suface at the traffic light got torn to bits by all the Merc taxis taking off
I live up here since 30 years so I’m used to and have chains, spikes are forbidden in Switzerland and if it gets real bad up here I use the series 3.
Im expecting around 200 francs per tyre so it might just stretch to grabbers.