You have an Ice damming issue. This is caused by lack of insulation and ventilation in this area.
Since this is a poorly designed area, you need to stop the temperature difference.
for an insulation type material which will help you.
I don't like to recommend sites too much, but this company can help. And I live in CT, I know your issues.
If they cannot help, try an energy audit company. Also www.buildingscience.com
is in MA.