There are indeed. Some fanfictions might put Naruto and Nate River in a new world together. They would have to face new challenges and enemies. This often leads to character development for both of them. The fanfic writers might also explore how their different backgrounds and values would interact in this new setting, making for some very engaging reading.
I don't know who Nate is in this '60 days in nate cover story' without more context. He could be an ordinary person who had an extraordinary 60 - day experience, or he might be a local figure known in a specific community.
In a fanfiction, Kushina could want Naruto to master a unique jutsu that she had always dreamed of but was unable to achieve herself. This could be a jutsu that combines the power of the Uzumaki clan's sealing techniques with some other element, like wind. And she would be guiding Naruto in his journey to master it, through some kind of spiritual connection.
One of the best places to look is Archive of Our Own (AO3). It has a large collection of fanfictions from different fandoms, and there are likely some good ones about Naruto and Nate River there. Another option could be FanFiction.net, which has been around for a long time and has a vast amount of content.
Rosa is brave. In many potential fanfiction scenarios, she doesn't shy away from dangerous situations. Whether it's facing a powerful wild Pokemon or a group of villains, she stands her ground. Nate is intelligent. He studies Pokemon types and strategies thoroughly. This intelligence allows him to come up with creative battle plans and also to solve problems that they might encounter during their adventures, like finding a way through a tricky maze in an old Pokemon ruin.
Romance - based fanfictions are quite popular. For example, pairings like Naruto and Hinata are common. Many fans enjoy reading about their relationship development.
Naruto's reaction could be complex. On one hand, he would be extremely excited. But on the other hand, he would be worried about the consequences. He has learned about the balance of the ninja world and might be afraid that bringing Kushina back could have negative impacts. However, his love for his mother would probably overpower those concerns in the end, and he would still strive to make her return a reality.