So far, this is the quickest way I've seen to do it.
Kaminari creates this already at the top of the page:
<nav class="pagination">
So I added, at the bottom of the page:
<span class="bottomPageLinks"></span>
Then added the following javascript to the page:
$(function(){
$('.pagination').clone().appendTo('.bottomPageLinks');
});
If someone knows a native Kaminari route that avoids the added complication, I'd still like to know about that.