With some help of this answer and this post I managed to get your desired sorting hooking into the posts_orderby
filter.
You would need to add some additional check so this only affects your post type and on your page of choice but this snippet gives you the required statement to get the
Apple store
Zebra store
7-11
posts sorting, provided their slug is
apple-store
zebra-store
7-11
since I order by post_name
which is the post’s slug
add_filter( 'posts_orderby' , 'wpse_custom_orderby_statement' );
function wpse_custom_orderby_statement( $orderby ) {
$orderby = " post_name+0<>0 ASC, post_name+0, post_name";
return $orderby;
}