The only situation where I hated my trail runners was walking through days of snow early season in the Sierra Nevada in Cascadias. My feet were constantly numb, day and night, and wet and miserable. My solution since then has simply been to avoid such conditions as much as possible but if I was going out again in areas where I knew there would be days and days of snow, I'd be sorely tempted to use my Asolo 535 boots - they are not goretex but when treated well are very waterproof, brilliant in snow conditions with crampons, but HEAVY - very worth it on day hikes in snow. For multi night trips, it would dramatically reduce my mileage.