The plot could revolve around Bellatrix's memories in Azkaban. Since she was there for a long time, she might have had some extremely vivid and disturbing memories. A fanfiction could explore these memories and how they influenced her actions after she escaped. For example, she might have seen the faces of those she killed in her dreams while in Azkaban, and this could have made her more vengeful.
Perhaps a plot could be centered on a secret mission to Azkaban to either rescue Bellatrix (for some dark reason by other Death Eaters) or to interrogate her about Voldemort's secrets. This would involve a group of wizards or witches having to brave the Dementors and the dangerous inmates to reach Bellatrix. It could be a story full of suspense and magic battles within the prison walls.
In a fanfiction, the plot could revolve around Bellatrix misusing the Cruciatus Curse and getting in trouble with Voldemort. She uses it on one of Voldemort's favored servants by mistake. Voldemort then has to decide whether to punish Bellatrix severely or let her off with a warning, while Bellatrix tries to plead her case and shift the blame onto others.
One possible fanfiction could be about Bellatrix's time in Azkaban and how she coped with the Dementors. Maybe she had some hidden magic that she used to keep her sanity in that dark place. It could also explore her thoughts about Voldemort during her imprisonment and how her loyalty to him remained unshaken.
One possibility is that it could be a story of redemption for Bellatrix. Maybe Harry, in his ever - empathetic nature, tries to understand what led Bellatrix to become so evil while they are both in Azkaban. He might try to reach out to the part of her that was once good, perhaps influenced by the idea that everyone has some good in them.
One possibility is that Bellatrix would try to escape and Harry would be there to stop her. This could lead to intense magical battles within the prison walls. Harry, with his strong sense of justice, would not allow her to break free and continue to cause chaos. Meanwhile, Bellatrix, being the deranged Death Eater she is, would stop at nothing to get out and might even try to use Harry as a hostage or a bargaining chip.
Perhaps in this fanfiction, Harry inherits Azkaban due to some dark family secret. He then has to deal with the dark forces that have been lurking within the prison walls for centuries. He might find a way to use the prison's own dark magic against Voldemort's remaining followers who are hiding in the shadows.
One possible plot could be that after the war, the Ministry of Magic is in shambles. Harry Potter, being a hero, is given Azkaban as a form of trust. He then discovers that there are dark forces still lurking within the prison, and he has to fight them off while also trying to reform the prison system.
In this fanfiction, perhaps Harry goes to Azkaban to rescue someone. It could be a fellow wizard who has been unjustly imprisoned. He might have to use his skills and some new-found magic to navigate the dangerous and dreary corridors of Azkaban, all while avoiding the Dementors.
She could be framed by a dark wizard who has infiltrated the Ministry. Once in Azkaban, she meets an old wizard who imparts some forgotten magic to her. This new magic helps her break free from the Dementors' hold.
A plot twist could be that the Dementors in Azkaban are not what they seem. Harry and Bellatrix find out that they are being controlled by a greater, more sinister force. This discovery makes them put aside their differences and fight together against this new threat, which is something no one would expect considering their prior relationship.
In a 'Harry Potter Saves Bellatrix' fanfiction, perhaps Bellatrix is in a situation where she's about to be killed by other Death Eaters who think she's a liability. Harry, having a sense of justice and seeing the potential for redemption in her, steps in to save her. He could then try to show her the error of her ways, using his own experiences of losing loved ones to Voldemort's ideology. Bellatrix might initially resist, but gradually come to understand Harry's point of view.