Start a Facebook page. Advertise. Get people to join. Add viral content. You'll get lots of links. Search engine algorithms seem to depend a lot on social media popularity these days. A 10K budget would be useful.
I see this as, i'd rather get more traffic, and links to MY WEBSITE which i own....rather then a facebook page which does do good, but not really in the long run.
everytime I see companies saying find us on facebook or doing stuff with facebook, all i can say is this is the exact stuff they should have been doing with their website! find our WEBSITE, engage users on your WEBSITE, put your URL everywhere...etc etc. Its like facebook came around now everyone wants to do what they should have been doing all along.....in the wrong place!