when using stuff like "collect by title" in the search page, is it possible to sort by random for the overall results page but sort by page number within the individual collection?

e.g. say I have a few titled image sets with red_hair tag, with 2-10 images in each. when I sort by random I would like to see a random image set, but then as I scroll through the page I want to see page 1, page 2, page 3 etc from that image set. right now, if I sort by random and group by title, I will see pages in a random order like 6,10,4,1,9, etc