LC offered me no money while several other schools did - some higher in the rankings, some lower. My LSAT was above their median by a large amount, but my GPA was below it. They seem to offer scholarships more to the rounded applicants. You could give LSN a check and see who else they've offered money to - if your numbers are closer to others who have/have-not gotten a scholarship, it could give you a better idea.
LC is an awesome school, though, I hope they come through for you. When they asked why I withdrew I made it clear in no uncertain terms it was because they were tightwads with the bling. If others said the same thing, maybe it will inspire more scholarships... Good luck!