Total ice axe newb here. Not talking climbing, but a multipurpose tool for winter walking on icy trails. I have always used ski poles in the past, but sometimes a sturdier tool would be helpful

I see a number of models in the sub-$100 category. How strong are they really?

I would also want to be able to chop toeholds in icy trails and cat holes for sanitation if necessary. (Doubly useful if a few winter trail newbs are following in my footsteps.)

An added bonus would be as a "dissuader" to dogs running off leash on park trails, or urbanized coyotes that have lost all fear of man. A little reach goes a long way, and ski poles are a bit too flimsy.

Thoughts? Recommendations on brands? Better than mounting a hardware store mini-pick on a sturdy walking stick?