Edward, which version of plugin do you use? I wrote about problem in legacy version (1.18) that works with PHP < 5.4. These versions use post_title instead of post_name.
New versions of the plugin are updated and are already using post_name.
I think it could be an error in ThreeWP_Broadcast.php in legacy version (maybe only in new WordPress versions?). I’ve found that there is a query using wrong args with get_posts function.
On line 749 try to use
'name' => $post->post_name,
instead of
'post_title' => $post->post_title
it worked for me.
Remember to eventually refresh cache or to disable/enable permalink feature if you have it enabled, to make things work.
Simone