Here is a scale diagram for the D Dorian scale on the C6 neck. The position begins with the root on the 10th string, and moves in a diagonal direction. It utilizes 3 notes per string.
This can help in visualizing this particular area 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!