Perhaps you could share a little more background about yourself and your interests (EG front end Development, extensive experience in X, 'I love to ski', etc.)? While I am not a Facebook employee, my wife is (we left the bay area a year ago, however, so she would not be able to help you directly).

Facebook employees are incentivized to bring in top-tier talent, so knowing your background might help uncover a person in a similar org with similar interests that could get to know and trust you before putting their reputation on the line.

Just my thoughts/2 cents - but given how embattled Facebook has been over the last 6 to 12 months I would want to build some trust before putting my reputation on the line if I was working for the 'book.

Good luck!