These never stay together for me. The burgers always fall apart. Has anyone had any luck getting the burgers to stay whole?

Maybe this??? How much fresh ginger are you using. Michele at Nom Nom Paleo has a post about how "fresh ginger contains a powerful enzyme called zingibain that breaks down protein" and how it was making her meatballs mushy... See: http://nomnompaleo.com/2017/03/20/2017032020170320wonton-meatballs

Maybe try using an egg as a binder?