Pop door(common name for chicken egress opening) will be in the floor of coop down into run....or on a side wall of coop?
If your space calculations are based on the popular 4/10 rule of thumb, many of us have found that rule to be a bare minimum, especially in cold climates.
You asked for...
I think you are trying to stuff 10 pounds of stuff into a 3 pound bag.
What's on the other side of that fence(s)...do you own it or...???
Having access all around a coop is essential, IMO, especially in your climate.
Run same size as coop, how do they get into the run from the coop?