With Patagonia you have to scroll down more—there are a few pics. And this shows the REI pants on a model: https://www.refinery29.com/en-us/shop/product/hyperaxis-fleece-pants-women-s-107687. I find the Patagonia pants fit closer at the ankle whereas REI is a straighter cut—but still not boot cut or overly loose around the ankle.

I live in Minnesota and I'm a big fan of Patagonia's R1 Daily Bottoms: https://www.patagonia.com/product/womens-r1-daily-bottoms/40545.html. A smidge over your budget, but you can find them on sale (I think I paid about $75 for mine). Patagonia of course has their ironclad guarantee, and I've made use of that in the past; when I finally killed a rain jacket, I brought it in asking if it could be repaired and because it could not be, they replaced it.
Also really like REI's Hyperaxis pants: https://www.rei.com/product/177406/rei-co-op-hyperaxis-fleece-pants-womens?sku=1774060003. In one of my friend group texts, they're known "the Magic Pants."