One idea could be Logan travels back in time to prevent a major event that led to the downfall of his kind. He could use his knowledge and skills to change key decisions, creating a whole new timeline full of different challenges and relationships.
For Logan in a time - travel fanfiction, keep his core traits intact. His gruffness, loyalty, and his inner struggle with his past should still be there. But add new layers based on the time - travel experience. For example, if he travels to the past, he might be more cautious as he knows the future consequences.
Fanfiction about Rory and Logan's first time can be quite interesting. It often delves into the complex relationship they have. Some fanfictions might focus on the build - up of their relationship leading to that moment, exploring their emotions and the anticipation. It can be a way to see different interpretations of their characters in this significant event.
You can expect a lot of emotional depth. Since Rory and Logan have a complex relationship, the fanfiction might explore their feelings in great detail. There could be a lot of internal monologues from both characters.
A really interesting fanfiction could be set in an alternate universe where Logan and Kendall are not part of Big Time Rush. They could be normal high school students who meet by chance. Logan is the shy nerd and Kendall is the popular jock. They initially don't get along but gradually form an unlikely friendship as they discover they have more in common than they thought.
Logan could be the type of person who only likes the official, original works and doesn't care for fan - created content. Since fanfiction is made by fans and not the original creators, he may choose to ignore it. Also, if he doesn't like the style or themes that are often explored in Big Time Rush fanfiction, he would naturally avoid it.
Logan's character can develop by becoming more humble. When he's sick, he may realize he can't always be on top of things and has to rely on others. For example, if he was previously seen as the know - it - all in the group, he might become more open to advice from his bandmates while he's ill.
In the fanfiction, Logan is backstage after a particularly rough concert. The crowd was unresponsive, and he feels like he let the whole group down. He sits in a corner, his head in his hands, and silent tears stream down his face. His friends try to comfort him, but he just keeps replaying the moments of the concert in his head, feeling like a failure.
Maybe he's having relationship troubles. If the fanfiction is exploring the personal lives of the Big Time Rush members, Logan could be heartbroken over a girl. He might have fallen for someone who doesn't feel the same way, or there could be some misunderstanding between him and his love interest that's making him cry.