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Here is a thought
See if you can get a train from Burgos to Sahagun - you can get the 1/2 way certificate there and perhaps continue on your walk from there
Another possibility is to walk Burgos --> Hornillos del Camino --> Castrojeriz-->...
You may already know that this route will take you through some of the least populated areas of France. So my suggestion would be to ask ahead, as Roland49 just mentioned, at the auberges or gîtes where you stay. By that I mean, where to dine on...
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