Of course, that publishing powerhouse The Perfect Speling Press has a handwritten website, but the real master of the genre is Eugene Hsu. Hsu tags his images to make them accessible to users browsing via screenreaders; the tagging also makes his site indexed when you search for such things as robots and orange drinks.
Something or someone somewhere recently brought me to a handwritten website by Miranda July; she writes her site first on her refrigerator and then on her stove. It's a sequence of pages that starts HERE and cycles through about a dozen images.
Maybe I should start blogging in handwriting as a sort of antithesis to the cell-phone blog.