One great 'Jon Snow the White Wolf' fanfiction is 'The Wolf's Journey'. It explores Jon Snow's further adventures with his wolf side more in - depth. Another is 'Jon and the White Wolf's Bond', which really focuses on the special connection between him and his wolf.
You can start by looking on fanfiction.net. It has a large collection of fan - created stories, and there are likely to be several 'Jon Snow the White Wolf' fanfictions there. Another option is Archive of Our Own (AO3). It's a well - known platform for fanfiction, and you might find some great works there.
Fanfiction about Jon Snow and the white dragon can go in many directions. Some stories might explore the origin of the white dragon and how it came to cross paths with Jon. It could be that the dragon was hidden away for centuries and Jon's arrival in a certain place awakens it. The relationship between them could also be one of mutual respect and understanding, with the dragon seeing something special in Jon that makes it want to follow him, like a kind of destiny or prophecy at work.
One common theme is power. The white dragon is a symbol of great power, and when combined with Jon Snow, it can create stories about him becoming an even more formidable force in the 'Game of Thrones' world. Another theme is loyalty. The dragon's loyalty to Jon can be explored, as well as how Jon earns that loyalty.
One interesting idea could be Jon Snow having a special bond with the white dragon. Maybe the dragon sees in Jon a kindred spirit, someone with a strong will and a sense of justice. It could lead to Jon having new powers or abilities through this connection.
A good 'Bigby Wolf and Snow White fanfic' should first of all, stay true to the characters. Bigby is a complex character with his wolf - like instincts and his sense of justice, and Snow White is strong - willed and kind. Capturing these traits accurately is key. For example, if Bigby is made too soft or Snow White too weak, it just doesn't feel right.
Jon Snow could potentially have allies like the Mormonts. They have always been loyal to the Starks. Maybe even some of the Dornish houses might side with him. They have their own reasons to oppose the current power structure in Westeros. And of course, his friends from the Night's Watch who left with him or believe in his cause could be his allies in this conquest. He might also gain the support of some of the maesters who see the value in his leadership for the future of Westeros.
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.
It could be a young and untainted Frey. Maybe a niece or a cousin of the more infamous Freys. One who has not been involved in the past atrocities committed by her family and has a more noble heart.