I have a great off-white wool winter coat. Unfortunately, last winter I wore this on a very windy and cold day. The dirty slush was thrown around my ankles and therefore all over the bottom of my coat.
Try saturating a place on the back (or some place that's not very noticeable) with lukewarm water. Make sure it's truly wet, as water sometimes tends to run off wool. Then squeeze the spot with white paper towels until the spot is gone. This worked perfectly on a wool jacket I have. The jacket dried with no water lines at all. Your coat may be tougher because you have more stains and it's off-white, but if it works on the first spot you can keep going. I used a kitchen funnel, which worked very well, to put water on the stains. Good luck!
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