Hi Avery, welcome to Permies! I have a relation with a
straw bale house in Wyoming. I'm pretty sure strawbale is good for cold, wind and snow. The one issue I know they have is that the bales go above the roof (Spanish mission style?) so there are bales exposed to the sky. They have plaster on them but a single crack up there leads to
water in the bales.
So I think that, based on their
experience, if you have a roof over it with good overhangs you
should be in good shape. Rain splashes up at least 18" onto walls so you may want to have the foundation or stonework come up at least a foot and a half above grade before you start with the bales.