Well, I found the 10th Doctor, adrift in history—specifically the history of whaling in Nantucket.
The familiar visage supposedly belongs to a “George Myrick Jr.,” ship owner and merchant, found while wandering the Nantucket Whaling Museum. A better image of the portrait and some of the cover story the good doctor made up to live as a whaling entrepreneur in the 19th century is here. Still looking for evidence of a sonic harpoon.
See also: “Doctor Who Theme for Ukulele“