Seems like this was resolved in another, less aptly named thread:
http://wordpress.org/support/topic/linking-an-fb-page
Works for me.
tl;dr It's unintuitive, but make sure that there's a tick next to point 3 of "Open Graph prerequisites" in the "Facebook Timeline" section. To do so, follow the authentication link, log in and configure with your credentials. The "Facebook Page" options then become available.
When posting new content, other authors do not see the "Facebook Status on Your Timeline" section and so cannot post to your personal timeline.