I tried signing up from my phone and it worked!
Multiple tries from my laptop would not let me get past the 'register or login to facebook' screen.
At the bottom of my successful submission from my phone, there is a disclaimer saying the promotion is in no way associated with facebook.
I'm thinking there is some kind of connection or else me and some other people wouldn't have had such trouble getting past the facebook register or login screen. And why would they have that disclaimer?
Oh well, I'm glad it worked and thanks to shut-up-and-fish for making this available!!
(no good deed goes unpunished at work here)
For anyone who's had the same trouble getting around facebook...try it from your phone if that is an option for you. That worked for me.