Check this winter tire review page I made a while ago:
zer...98057
you can go lower size if you want, but you need to buy those tires with another set of size matching rims or those cheep black steel rims.
I bought some Michelin Pilot Alpin PA3 to use on my stock 17inch rims. but if you want the smaller ones you can get the Michelin Pilot Alpin Primacy PA3 (16inch)
both are in my opinion, THE BEST PERFORMANCE WINTER TIRES FOR ANY CAR. lol
and also in the ADAC winter tire review test