Finding my next cycling glasses to prevent my eyes hurting in winter

Hi everyone! I've been cycling for years now, spent 5 years in Paris cycling without eye protection. But since I moved to London, I've felt the need to protect my eyes from the wind and humid air. I'm currently using a copy of the 100% S2 (these) I had found on eBay. But when I cycle in winter over 20mn I tend to have to close one eye to avoid arriving at my destination with my eyes very dry and/or crying. It's manageable but quite tiring.

I've just bought a pair of Decathlon Perf 500 (these) and while a tiny bit better my eyes still suffer from the cold wet air.

Is it because I haven't found the right pair that would suit my eyes, or do I need in an expensive pair if glasses?

I'm seriously considering some kind of ski mask or closed off goggles, even if I'd look like a donkey lol

Any advice would be great!