One big challenge Logan would face is time management. He has to juggle his work and taking care of his child. Also, he may not have much experience in parenting, so things like dealing with a sick child or helping with homework could be difficult for him.
In a Gilmore Girls fanfic where Logan is a single father, his character might develop in several ways. He could become more responsible and selfless. He might have to balance his career and parenting, which could lead to him making different choices than he did in the original series. For example, he might turn down high - risk business ventures to be more present for his child.
One great fanfic could be 'Jess's New Beginnings'. It focuses on Jess as a single father trying to balance his new role with his past in Stars Hollow. He struggles to raise his child while also dealing with his feelings for Rory that resurface.
A really interesting fanfic is 'Beyond the Yale Boys: Colin, Finn and Logan'. It explores what happens after they graduate from Yale. It takes their characters in new directions, perhaps into the business world or traveling. It also shows how their bond remains strong even as they face different life choices.
One common storyline is Luke trying to balance his diner business with raising his child. He might have to deal with finding reliable babysitters or having his child at the diner during busy times. Another storyline could be his child getting involved with the other kids in Stars Hollow and Luke having to navigate the relationships and potential rivalries. For example, if his child has a crush on someone, Luke has to give advice while also being protective.
One common theme is redemption. Jess had a bit of a troubled past in the show, and in fanfics as a single father, he often tries to redeem himself through being a great dad. He wants to break the cycle of his own difficult upbringing.
Maybe Jess could be the father. He and Rory had a deep connection. In the fanfic, this could be a way to explore a new chapter in their relationship. It would also bring a lot of drama as Jess has his own set of issues and a different lifestyle compared to Rory.
In a fanfiction, Logan could be in a difficult situation where his family business is on the verge of collapse. Rory, who is now a well - known journalist, comes back into his life. She initially wants to write a story about his family's business troubles but ends up falling in love with him all over again. Logan, seeing Rory's support and love, also realizes that she is the one he wants to be with forever. They work together to save the business and their relationship.
One great idea for a Lorelai Leigh Gilmore fanfic could be her adventures in a cooking competition outside of Stars Hollow. It would be interesting to see how her quick - witted and charming personality fares against tough competitors. Maybe she teams up with Sookie and they create some truly unique dishes that surprise everyone.