Wordpress - Making a "page" private AND password protected

Anyone hav开发者_运维技巧e any ideas on how to do this? I've found one plugin, but it doesn't do the job. I'm basically using Wordpress as a CMS, and I just want to make one "page" both private and password protected, i.e. you need a password to view the page and it doesn't show up in the menu.

Password protect it in the WP editor and then use Exclude Pages « WordPress Plugins to keep it out of the menu.