Here is a scale diagram for the D Dorian scale on the C6 neck. It is a vertical position in which the root is on the 8th string, in this case around the 5th fret.
This can help in visualizing this particular pocket of the fretboard, and can also help in memorizing the notes of the scale and the fretboard.
You can click on the image (on the attachment page too) to get a better view of the diagram. Enjoy!