Andrew,
There isn't a way to Like a page when you're using Facebook as a "Page". Likes' have to be from users when you do them on-site. The best we can recommend is posting your content, then going to your Facebook page (on facebook.com) and using the Status/What's on your Mind box. You can type a comment and include the URL to your content there. When you add the URL, Facebook will detect it and pull in the information about the page automatically for the post.
It's not perfect since it's not as automated/simple as some may like, but it works well.. and the extra comment is useful for targeting the content toward your Facebook audience, as the content itself may be not be related to Facebook or your Page at all... the comment allows a little intro first.
Hope that helps,
Alex