I have no say as to when the search is run beyond nudging Abbie behind the scenes and letting her know it hasn't updated in a bit. (Which, she knows.)
Now, since this happens now and then here is how I work around it for my own marketing. If I am pushing an image out to the masses on a page that doesn't allow direct links it is important that the potential buyer can find the image on JC Findley .com. I will leave the images on the first page so they are easily found until the search updates. That way if someone does look for it they can find it either at the top of the logical collection it would be in or on page one of the images. Once the search updates I will move it further back in the deck.