I think that the most elemental answer to this would be to cite Proctor's speech at the closing of the drama. The idea of "my name" is a compelling topic upon which to construct a monologue and it certainly is a very strong monologue. However, I believe that another really strong monologue and a very compelling one is what Corey says to the court about his refusal to "name names." I think that Corey's monologue is impressive for a couple of reasons. The first reason would be that it is a moment at the height of the dramatic tension. The court of Hathorne and Danforth demands that Corey speak and he refuses, suggesting that he does not want to "bring harm" to anyone else. His speech and remarks to the court can be as a significant monologue because it is a moment where the tension is at its highest in that Corey represents the first person to stand up to the fradulent nature of the court and its proceedings. Additionally, there is a certain amount of pain in Corey's words. He feels guilt towards his own role in condemning his wife and refuses to add to it with others. In this, I think that Corey's speech to the court in refusing to acquiesce it might be a very good monologue upon which to focus in Miller's work.