Have you read Eliot Coleman's
books? They are packed with details about exactly this, and I keep coming back to them and rereading parts:
The Winter Harvest Handbook, 2009, has lots of gorgeous color photos and some updated information, tools and techniques. It seems more aimed at the vegetable farmer.
Four Season Harvest, 1999, has more good reading from beginning to end, and feels more aimed at the home gardener in my opinion.
They are both about harvesting vegetables year-round in Maine, in a heavy snow climate. There are many different designs and ideas for cold frames, greenhouses, movable structures, how to avoid snow collapse, etc. Plenty of things can be harvested in mid-winter from cold frames, and these books are full of suggestions. The 2009 book has lots of inspiring photos of greens peeping out of a cold frame or
greenhouse in a snowy landscape, and the 1999 book has lots of drawings and diagrams like that. .
Of course you already know that snow is more of an issue than you reckoned with earlier. So I suspect you'd do better with cold frames with rigid glazing. They either have to be strong
enough to hold a full depth of snow, whatever is the most you expect in your region, or they have to be steep enough to shed the snow, and tall enough for the shed snow to pile up on the side.
I think the 1999 book has more detailed instructions about making cold frames, with advice I wouldn't have thought of, like having no frame jutting up from the lower edge of the glazing, so snow can slide off easily. You might find discarded glazing to use for your cold-frames, such as windows or sliding doors, or a
shower door from a bathroom remodel.