despite all the "bad rap" goretex gets here .... for mild PNW always slushy wet or puddles conditions (your sneakers WONT dry even if they are mesh, theres no effing sun or dry ground) ...
ive found that minimal (all mesh no leather) gore runners work well even if they get totally soaked ... while your feet might sweat a bit inside, they stay WARM and wet ...
someone once said that they rather wear a rain jacket over windshirt in continuous rain as they would rather be warm and wet ... than cold and wet ... same thing with runners
note that if you do use trail runners when its wet, slushy and cold ... carry a pair of dry warm socks, or at least plastic bags for your feet just in case you get stuck, as a bonus theyll serve as emergency gloves
theres been cases of trench foot where hikers/runners just could not move under their own power after prolongued expose to wet cold conditions ...
if you are wearing minimal footwear with minimal foot insulation you MUST keep moving ... if you cant youre going to be in serious trouble