Depends on the judge. It's a battle of wills. Lock him up, he has the keys to his jail. I forget her name, reporter in the Libby case went to jail protecting sources. It's a badge of honor among journalists.
And yes, I accept that Beck is not a journalist. I think shield laws are a bad thing anyway. The press holds itself out as some sort of paragon of truth, when it is a fountain of falsehood. I'd burn a few of 'em at the stake.
JUdith Miller. She finally submitted
The judge has a much more draconian measure that can be invoked. If Beck refuses then the judge needs to merely give a default judgement to the plaintiff.....end of story
Beck did this to himself. It’s called natural consequences