Tony,
To do an eclectic, I would have to have a few candidates available to mesh with other courses.
My candidates would be
Somewhat standard holes 3 & 6
Pete Dye bend it opposite holes 11 & 12
Blind approach holes 7 & 14
I hesitate to put holes in whose greens lie in the lower wetter areas of the course 9, 10, 15, and 17. However, if push came to shove I might have to chose 17.