The name lookup timed out text is key. That usually means it's a server issue not able to translate the domain name(s) of Facebook to their proper IP address. It's a rare issue, but we actually just had a similar post about a week ago. I'd recommend reading through that, specifically, my last post with ideas on how to test the server:
www.sourcecoast.com/forums/jfbconnect/jf.../6546-sclogin#p33762
I know you say it's GoDaddy, so everything might not be available to you, but I'm pretty sure they do allow SSH connections.. you may even just ask them to run those nslookup tests and verify things.
Finally, the other option in that thread (or linked out to it at least) is to rename one of the communication points from api-read.facebook.com to api.facebook.com. Instructions are in that thread, and it's an 'easy' worth a shot thing to try.
Best of luck with the email campaign tomorrow, and we hope you'll be an active subscriber again soon
Thanks,
Alex