I'm not really into that kind of fanfiction. But you can try searching on some dedicated fanfiction websites. There might be some stories that focus on their relationship in a more platonic or adventure - based way rather than inappropriate 'lemon' content.
You could look for action - packed fanfiction where Batman and Hawkgirl team up to fight villains. There are some great stories that show their strategic thinking and combat skills when facing tough opponents in Gotham or other parts of the DC world.
A really good one is 'Wings of the Night'. This fanfiction delves deep into the relationship between Batman and Hawkgirl. It shows how they learn to trust each other and combine their abilities to protect the city. There are some great action scenes and emotional moments in it.
Yes, there are quite a few. You can start by looking on fanfiction.net. There are many creative writers who have crafted stories about their relationship. Some explore their potential romance in the context of battling villains together in Gotham or other DC Comics settings.
One idea could be a story where Batman and Hawkgirl team up to stop a powerful villain that is causing chaos in both Gotham and Hawkgirl's home realm. They start off not trusting each other fully due to their different methods, but as they face challenges together, they learn to respect and rely on one another.
Archive of Our Own (AO3) is also a great place. It has a well - organized tagging system. So you can search for 'Batman Hawkgirl' and it will show you all the relevant fanfictions. There are often some unique and creative stories there.
A great Hawkgirl and Batman fanfiction idea could involve Hawkgirl getting injured during a battle and Batman taking her to the Batcave to recover. While she's there, they have long conversations about their pasts, their losses, and what drives them. This could lead to a newfound friendship or even a romantic connection in some versions of the fanfiction, as they realize how much they have in common despite their very different origins.
One great Batman Hawkgirl fanfic is 'Flight and Shadows'. It delves into a world where Batman and Hawkgirl team up to face a new threat in Gotham. The author does an amazing job of portraying their different personalities and how they learn to work together. Another interesting one is 'Wings in the Dark'. It shows a more complex relationship between them as they deal with secrets from their pasts.
Fanfiction.net is a great place to start. It has a large collection of DC Comics - related fanfictions, including ones about Batman and Hawkgirl's relationship.
You can try fanfiction websites like Archive of Our Own (AO3). It has a large collection of fan - created stories, and you're likely to find some 'batman and hawkgirl kiss fanfiction' there. Another option is FanFiction.net. Just use the search bar on these sites and type in the relevant keywords, like 'batman hawkgirl kiss' and you should be able to find some interesting reads.