Contempt of court, anyone?
I am not a lawyer, but I really doubt this will be an effective strategy. Judges have a lot of discretion in their courts and they do not like idiotic grandstanding. If you're a juror trying to hold up the judicial process, I can see the judge charging you with contempt of court and swiftly replacing you with one of the alternatives. If you're a defense attorney, you will be charged with contempt of court along with facing legal malpractice charges from your client.
I don't see any possible positive solutions from your scenarios, but, like I say, I'm not a lawyer. If there is a lawyer here who has a better handle on how things work, I'd love to hear their take on this.
Obviously, your not a "Lawyer / Attorney," and Obviously never sat on a jury (I have {sat on a jury} & did try some "Idiotic grandstanding") a.k.a., Jury Nullification.
To say the judge was shall we say very, very, upset, Yes he was. The only judgment that was handed out to me was I was removed from the jury, PERIOD.
To state that you have ZERO IDEA, of a juror's rights, privileges, and IMMUNITIES WOULD BE AN understatement.