Student or Learner
I have no choice,
me neither or me too.
I think the answer is me neither, because 'no choice' means 'not any choice' , is that right?
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.
I have also seen "me either" for negative statements.
You mean even in novels or conversation? Because I found it in a novel.
If you read narrative or description in a novel, you can generally trust that to be good English. Generally - because the novel is often an experimental form.