To dream of plowing represents your quick pace through something difficult. Getting your problem out of the way as fast or as powerfully as you can. Wanting to make a fresh start or change.
Negatively, plowing may be a sign that you are rushing an issue.
To dream of plowing snow represent the fast pace at which you are trying to move on from something. A purification or renewal has occurred and you may be in a rush get on with your life.