Custom Loop – Custom Post Type Sorted By Custom Taxonomy

<div class="content">
  <?php
$categories = get_terms('series', 'orderby=title&order=ASC&hide_empty=1');
foreach( $categories as $category ):
  ?>
  <h3><?php echo $category->name; ?></h3>
  <?php
$posts = get_posts(array(
  'post_type' => 'courses',
  'order' => 'ASC',
  'orderby' => 'title',
  'taxonomy' => $category->taxonomy,
  'term' => $category->slug,
  'nopaging' => true,
  'tax_query' => array(
    array(
      'taxonomy' => 'role',
      'field' => 'slug',
      'terms' => 'developer'
    )
  )
));
foreach($posts as $post):
setup_postdata($post); ?>
  <?php get_template_part( 'courselisting', 'index' );
  ?>
  <?php endforeach;
  ?>
  <?php endforeach;
  ?>
</div>

Training website. Custom post type: courses Custom taxonomies: series, roles
I have a bunch of courses, grouped into series. Using the code above, I’m producing a nice list of courses, grouped by series, for only role=developer.

Problem is, it’s listing every single ‘series’ taxonomy – even if there are no role=developer courses for that series. (so i’m getting just a blank <h3>Series Name</h3> and then no course records after it.
I see I need to somehow limit the get_terms for series to only produce terms if they are present for courses where role=developer is true.

Any help? I’m a bit stumped. Thanks!