I’ve had stuff buried in snow all winter survive, and continue growing when the snow melted. Lettuce one year and onions this year. Getting to them is a problem, though during the winter.
You need a solar greenhouse, attached to your house.
It has always amazed me how the different plants make it through the snow and ice.
You could also consider a cold frame, they say that is a good way to go.
I loved my attached greenhouse, I was out there with my coffee, still in my nightgown most mornings.
One year I had 4 kids under 12 and a solid week of snow, the kids were able to escape into the greenhouse.....as I don’t have a large mobile, it was a real blessing.
The first year that I was here, the cooler did nothing for the mobile, it was rare that it wasn’t over a 100 degrees, but with the added moisture of the greenhouse and space for the air to circulate, it worked fine the next year.
It does not need to be fancy, enough slant to the roof for the snow to fall off and any handy man can build one.
I hired a handy man to build the one on the hill when I lived there, had to fight him, as he did not have a clue as to what he was doing and had never built a greenhouse before.
He did fine, in his mind, he followed a photo he found of a porch with a roof.
When it was done, he brought his wife to see it.