I think you would be fine with two square feet coop floor space per bird in your colder climate. It help keep the coop warmer if there are more birds per square foot, and helps keep any eggs from freezing. Rarely at one time are the birds on the floor anyway; some are roosting and others may be laying, eating or drinking.
We personally have over 250 birds at two square feet per bird. This minimum space requirement is dictated to us be the stores we sell to, and our flock is unaffected by it. Of course, our run can be considered infinite. A typical 8' x 16' mobile unit shown below houses about 65 birds:

We personally have over 250 birds at two square feet per bird. This minimum space requirement is dictated to us be the stores we sell to, and our flock is unaffected by it. Of course, our run can be considered infinite. A typical 8' x 16' mobile unit shown below houses about 65 birds:

