Woman’s boot recommendations

My boyfriend has been taking me shed hunting with him, I’ve been wearing some uninsulated rubber boots which have been fine, but I’d like something warmer and with more traction for hiking around. I would like something waterproof, I have gaiters but we do hike around in a fair amount of snow. I’d like to find something for under 100 bucks. I’ve found a couple pairs of hunting boots in my area within my budget, but I’m wondering if getting some more mountaineering/ winter hiking boots would be a better purchase opposed to something that’s marketed for hunting. I’m not normally a footwear snob, but if I’m investing money in new boots, I’d like to be sure I’ll use them awhile!