Redemption is another theme. Sometimes Bane is written as a character seeking redemption, and his relationship with Batman becomes a part of that journey. This can add a lot of depth to the story.
You can try fanfiction websites like Archive of Our Own (AO3). There are a large number of fan - created stories there, and you can search specifically for 'bane x batman' fanfiction. Many talented writers share their works on this platform.
In the comics, Batman doesn't die at the hands of Bane. Bane is a powerful adversary, but Batman finds a way to overcome his challenges and live on to fight another day. Their confrontations are epic, but Batman's resilience prevails.
Well, Bane achieves this by outsmarting and overpowering Batman. He uses his raw strength and strategic planning to inflict a severe injury that incapacitates the Dark Knight.
Batman defeats Bane through a combination of physical combat and mental tactics. He trains hard to improve his strength and endurance and then uses his knowledge of Bane's fighting style to gain the upper hand. Also, he sometimes gets help from his allies.
There are some fanfics available. You can start by looking on popular fanfic platforms like Archive of Our Own. However, the quality can vary greatly. Some might focus more on character development, while others could be more action - oriented within the context of their relationship.