I'm not entirely sure specifically what a 'beerus raps beerus fanfic' is about without more context. It could potentially be a fan - created story where the character Beerus is rapping. Maybe it involves Beerus expressing his thoughts, his powers, or his experiences in the form of rap within the context of a fan - made fictional narrative.
The appearance of a science fiction story on AMV is unpredictable. It could be anytime based on factors like the creator's inspiration, available resources, and audience demand. So, you just have to keep an eye out for it.
You could try looking on fan - fiction websites like Archive of Our Own or FanFiction.net. They usually have a wide variety of fan - created works, and there's a good chance you might find a 'beerus raps beerus fanfic' there.
Beerus would likely be more powerful. He is a god of destruction in his own universe with incredible cosmic powers. Naruto is extremely powerful in his world, but his power is mostly based on chakra and ninjutsu, which is on a much smaller scale compared to Beerus' ability to destroy planets with a flick of his finger.
For a love story AMV to be outstanding, it needs a well-chosen song that conveys the emotions of the story. Also, the editing has to be seamless, with smooth transitions between scenes. The quality and clarity of the video clips matter a lot too.
I think it depends on various factors. Goku's determination and growth are remarkable, but Beerus has an overwhelming level of power and authority that might be difficult to overcome.
As far as I know, there isn't a widely known fanfic solely focused on Beerus and Champa's father. However, the Dragon Ball fan community is vast and creative. Some fans might be interested in exploring the backstory of their father, but it's not a common theme that pops up regularly. You could try checking out some of the bigger fanfic platforms and search for related keywords to see if there are any hidden gems.
The plot might center around Goku being raised by Beerus in a more secluded place. Beerus could be training Goku to be his successor as a god of destruction. Goku would have to learn about the balance of destruction and creation, which is different from his usual Saiyan power - up goals. This would also mean that Goku would have a different view on the universe and its inhabitants. He might be more detached in some ways, but also more powerful and with a different moral code influenced by Beerus.