Update Your Browser | Facebook

Facebook is a social utility that connects people with friends and others who work, study and live around them. People use Facebook to keep up with friends, upload an unlimited number of photos, post links and videos, and learn more about the people they meet.
I'm looking for ideas on how to expand my reach via Facebook, given that I don't play live and I'm entirely a "studio musician." My goal is just to get exposure via social networking.

My facebook page is here: Lights Fade Low | Facebook.

I started it roughly a year ago and have 97 people following it now (97 likes) from all over the world... but I'm wondering how I can get that small number of people to spread the word to their friends.

I was thinking about providing an incentive--a free track--for people who invite their friends to Like my page or post about my music on their timeline. But I can't see any way in FB to track when someone does that so that I can offer them the incentive. Have any of you run social campaigns like this?

Any other thoughts?