ASICS - GT-2000 11 TR

If you run in the winter in the wet you have to accept that your feet will get wet. IME it's better to have a shoe that breathes when they get wet rather than a shoe that will get wet and then keep your feet wet/moist. Running in goretex shoes always leads to blisters for me. Trail shoes are generally inherently more stable. If you like asics, there is a GT 2000 trail version with more grip.

I’m proportionately heavier at 5’6” and 190ish. I’ve run in Saucony Peregrines for over a decade, but just added Asics GT2000TR to the rotation as my mileage continues to increase.

GT-2000 TR. They're light stability daily trainers with some small cleats in the TR version. Grippy rubber too imo

I use ASICS GT2000 TR as my do it all travel shoes, with which I’ve been doing everything you describe: city walking, hiking/trail runs and easy runs.

I have these but pretty weak on any serious trail. Great for grade 1/2 type trails and on the road when it’s wet.

Yeah I mean they’re not designed for serious trails, but have a nice bit of extra traction and feel just as comfy as a road shoe on the pavement.

I brought these as a dressier option for a 3-week UK trip, intending to wear some newish Asics trail runners as an outdoorsy shoe. Asics is usually my go-to comfortable shoe brand, but that pair wrecked my feet within the first week. The Mizzles took on full duty and were a godsend.