One possibility could be that in the fanfiction, Jon Snow discovers the Valyrian steel in an ancient castle's armory. Maybe it was hidden away for centuries, and his discovery sets off a chain of events that changes the course of his journey.
He could use it to defeat a powerful enemy. Valyrian steel is very effective against certain threats in the 'Game of Thrones' universe. So, when Jon Snow finds it in the fanfiction, he might be able to slay a great foe that was previously unbeatable.
There are many ways fanfiction writers could incorporate Jon Snow and the Dark Sister. For example, the Dark Sister could be tied to Jon Snow's true heritage. Maybe it was hidden away waiting for him to claim it as a Targaryen. This could lead to new storylines where he uses the sword to fight against the White Walkers or in the battle for the Iron Throne.
One possibility is that Jon Snow uses his new Faceless Man skills to infiltrate the Boltons' camp undetected. He could change his face to look like one of their soldiers and gather crucial intelligence for the Starks.
A great deal of Jon Snow and Iron Throne fanfictions focus on his relationships. For example, his relationship with Daenerys could be very different in fanfictions. In some, they rule together on the Iron Throne, combining their claims and powers. In others, they are at odds, with their relationship being a major obstacle in Jon's path to the throne. And of course, there are fanfictions where his Stark family ties also influence his actions regarding the Iron Throne, as loyalty to his family is a strong part of his character.
Daenerys Targaryen could be one to help. Since she has experience with dragons, she could give Jon Snow advice on how to care for the egg and hatch it.
Jon Snow could discover that the dragon has some sort of special connection to his true heritage. Maybe it was left there by his Targaryen ancestors. The dragon could help him uncover secrets about his family and his place in the world. He may also face challenges in controlling the dragon at first, but with time, he masters it and uses it to change the fate of Westeros.
Valyrian Steel could be part of an ancient prophecy in the Harry Potter fanfiction. Maybe it's said that only a wizard with a pure heart and a connection to the founders can wield a weapon made of Valyrian Steel. Harry, being the hero, is destined to find and use it to defeat the ultimate evil. It could also be that the Valyrian Steel is hidden in a different magical realm that Harry has to travel to, which would introduce new and exciting settings into the fanfiction.
An author who has a passion for exploring alternate storylines in the 'Game of Thrones' world could be the one to write an amazing 'Jon Snow finds a dragon' fanfiction. This person might be someone who was disappointed with the original show's ending regarding Jon Snow and wants to give him a more epic and dragon - filled adventure. They could draw on different elements from the books and the show to create a unique and engaging story.
Well, in this fanfiction, it's possible that the dragon egg has some special connection to Jon Snow's true parentage. It could be a sign of his Targaryen heritage, if we follow the theories. He could then use the dragon that hatches from the egg to fight against the White Walkers, as dragons are very powerful creatures in the 'Game of Thrones' universe.
One common theme is adventure. Jon's discovery of the dragon eggs often leads him on a series of exciting adventures as he tries to protect or hatch the eggs. Another theme is power. Dragon eggs symbolize great power, so stories often explore how Jon deals with the implications of having such power at his disposal.