reordering product categories

I understand how to drag category names around and change the order and that all works fine if I only need to drag a category a few entries away (i.e. on the same page in the category listing). Is there any way to move a category to much further way, on a subsequent listing page?

Here’s the scenario I’m trying to deal with. I have a top level category called “Composers” Then I create subcategories for each composer. We have over 200. When I add a new composer category it puts that new one at the top of the Composer category. I might need to move it to the end so it’s alphabetically listed. But I can’t find any way to drag it beyond the first page of categories showing.

Surely there’s a way to do this?