All I can think of is removing the link in your theme files.
<li class="page_item page-item-3 current_page_item"><a href="http://skimdeep.net" title="Home">Home</a></li>
<li class="page_item page-item-4"><a href="http://skimdeep.net/products/" title="Products">Products</a>
would become
<li class="page_item page-item-3 current_page_item"><a href="http://skimdeep.net" title="Home">Home</a></li>
<li class="page_item page-item-4">Products
I imagine that's easier said than done though as this is probably pulled from the DB table.
I tried un-publishing parent level pages but that removed them from the menu(along with the child pages)
Will be good to see the answer to this.