One good 'clingy sam supernatural fanfic' could be 'Sam's Unwavering Bond'. It focuses on Sam's clingy nature in the face of danger, showing his deep connection with the other characters. It has great character development and keeps you on the edge of your seat with its plot twists.
You can try Archive of Our Own (AO3). It has a large collection of Supernatural fanfics, and you're likely to find quite a few 'clingy sam' ones there. Just use the search function and type in relevant keywords like 'clingy sam' and 'Supernatural'.
Family is also a big theme. They are brothers, but their relationship is more than just a typical family bond. Fanfics may show how their family ties are tested and strengthened. For example, they might face a situation where they have to choose between family and the greater good, but they always find a way to stay together as a family.
One great fanfic could be 'Brothers in Arms'. It delves deep into the complex relationship between Sam and Dean. It shows how they rely on each other in different hunts and their emotional bond.
One common theme is the exploration of their deep emotional bond in a romantic context. Since they already have a strong brotherly connection in the show, fanfics often build on that to create a more passionate and romantic relationship.
This could inspire students' creativity. Seeing their teacher take an interest in a fanfic might encourage them to write their own fanfics or be more creative in their writing in general. They may also learn about different interpretations of the 'Supernatural' world and Sam's character, which can broaden their perspectives.
In fanfiction, if Sam was kidnapped, it could lead to a very intense story. Dean would surely go on a rampage to find him. Maybe Sam was kidnapped by a powerful demon who wants to use him for some dark ritual. It could also be a new, unknown enemy who has a vendetta against the Winchesters.
The teacher might be interested in the unique perspective that the fanfic offers on Sam's character. Fanfics often explore aspects of a character that may not be fully developed in the original show. By adopting it, the teacher could be looking to study how fans perceive and expand on Sam's personality, backstory, and his role within the 'Supernatural' universe. This could then be used to inspire students in their own creative writing or character analysis.
Dean is almost always going to be in these fanfictions when Sam is gagged. Their relationship is central to Supernatural. Rowena could also be a character. She might use her magic to either gag Sam for her own purposes or to help him if she has a change of heart. And Gabriel. He could turn up and use his trickster abilities to either put Sam in the gagged situation as a joke or to get him out of a more serious one.