Moving sidebar title outside of box?

I’ve got a sidebar box that I want to take the title out of. Right now, I have a 1px box, with the sidebar content and title inside of it. I want the title to sit outside the box, on top.

Right now, the PHP code is:

register_sidebar(array(
   'name'=> 'Homepage Sidebar',
      'before_widget' => '<div class="sidebox"><div class="widgets">',
      'after_widget' => '</div></div>',
      'before_title' => '<h3>',
      'after_title' => '</h3>'

Is there any way to do that? Styling it with CSS isn’t really working out because of the way the title in configured in the box. Maybe this is something simple I’m overlooking? Thanks in advance.