I have a similar situation (only latitude 47, but maritime climate means lots of cloud). I find the passive solar advantages are the greatest in the spring and fall, especially April, when there's longer days and more sunshine, but it's still cold enough that you benefit from the extra sun energy. As a diagnostic: try sitting in the sun when it does come through the window (or lie in a square of sunlight on the carpet, like a cat!). If you're feeling warmer after five minutes or so, then the gain is probably worth it.
wrt the plastic insulation, many brands now come with two-sided tape, not glue, and the residual adhesive washes off pretty easily once the warm weather arrives. I put it on my north/west facing windows.
[edited to add: And whichever way you go, wash the windows more often. I'm always amazed how much light is getting stopped by dirt!]