That's a great solution! Aside from the drill bit thing, my only concern would be that if you're repeating a speckle pattern, that it might be detectable.
Jay you're dead right, but I may have this solved...
I had about three or four shots of the original that had a clear area of speckle (no pen lines, gaps or other variations.
At first (using ACDSee; I don't have Photoshop:unsure), I selected the largest area I could (for efficiency), copied it, and pasted it sequentially across the image pane.
But yes, the repeated pattern became evident, not because the speckling itself had a pattern, but due to light variation from the camera flash within the selected area. It would get darker as the model surface curved away.
So on the final image I worked with, I selected a much smaller area, clear and clean, and with minimal if any light/color variation. I pasted this 15-20 times to form a larger, mostly pattern-free rectangle, then selected and copied this larger rectangle. At that point, I filled the entire image pane with the large rectangle, overlapping and rotating it as I went.
Finally, with the entire screen covered, there was still minimal pattern elements visible, so I took the smallest section (that I first started with) and pasted it randomly where I saw signs of a repeating pattern.
So at this point, I did manage to acheive a relatively pattern-free image of solid speckle.