List custom posts alphabetically except for the first item

Try sticky posts.

unfortunately, sticky posts do not work with custom post types.

How are you listing the posts?

i have a query post:

query_posts(array (
  'post_type' => 'CUSTOM_NAME',
  'posts_per_page' => -1,
  'order' => 'ASC' )) ;
if (have_posts()) : while (have_posts()) : the_post();

then code to list titles with images (etc)

then closing my query with:
endwhile; endif; wp_reset_query();

Run 2 loops. First a small one with your ‘sticky’ post. Then the one above (with ‘sticky one’ excluded).

Thanks, this solution worked