You can get the Signed Request using JFBConnect. However, it doesn't matter. Facebook removed the ability to detect if a user has Like'd the Facebook Page as of August 7th. Please read their
Graph API v2.1
blog post for more info. Specifically:
The liked field will no longer be returned in the page property of the signed_request object for Page Tab apps created from today onwards. For apps created before today, from November 5, 2014 (90 days from today), the liked property will always return true regardless of whether or not the person has liked the page.
I hope that helps, even if it's not what you were looking to hear.
Thanks,
Alex