La Sportiva - Blizzard GTX

Yaktrax or microspikes if you're on consistent snow & ice. Studs work better for mixed ice/rock/pavement. La Sportiva sells stud kits, which a single kit can keep getting reused across any shoes. I really like the La Sportiva Blizzard, but are best found on spring closeouts ($$$). Just packed snow, a knobby trailrunner with tacky rubber like Vibram Megagrip is usually enough for me mid-winter on less tracked trails (in Montana).

I've used both the La Sportiva stud kit and studded my own, I think I've now reused the same studs in 3-4 different shoes now. I've also snagged some La Sportiva Blizzards on closeout and those have been awesome in Montana. The studs are great for ice+pavement mix, a little annoying on rocky terrain, but hold up fine and grip fine. On hard, solid water ice with inclines they still don't dig in well, but make it a controlled skid instead of flat on @ss experience. Edit: I love yaktrax as well for mixed ice and softer snow, provide really good traction in deeper snow, but don't hold up well with mixed rock/pavement/snow type stuff.

Kahtoola microspikes are the way to go. Also love my La Sportiva Blizzard GTX, they’re my go to mountain shoe in the snow.

I'm not OP but I was running in the same nature preserve yesterday and used these: https://www.lasportiva.com/en/shoes-trail-running-blizzard-gtx-man-zfrs045 I really like the gaiters, because I hate getting snow inside the shoe.