I know you said you want a symmetrical tread but very few are these days and it doesn't seem to make any noticeable difference. Even the OEM Yokohama Blue Earth my car came with from new isn't symmetrical. I have used a Kumho KH27 Ecowing ESO1 that worked well and did some reasonable mileage.
I think that using a Winter tyre may be a bit extreme, not a lot of M3W's are used in ice conditions and warm weather performance can be reduced. A tyre with good wet weather performance is recommended, you really don't want to have a rear wheel aquaplane event, or puncture.
Last edited by planenut; 22/03/21 07:02 PM.