I'm not sure of a specific one, but you could try searching on popular fanfiction websites. Look for ones with high ratings and good reviews. They are more likely to be well - written and engaging in terms of the Snape - Harry dynamic with the paddling aspect.
One interesting fanfiction could be where Snape paddles Harry as a form of discipline in a more complex plot involving a magical mystery at Hogwarts. It might explore how Harry reacts to this old - fashioned form of punishment and how it changes their relationship in the long run.
I'm not sure of a specific 'Snape paddles Harry' fanfic off - hand. But generally, in fanfics with this sort of scenario, they often explore the power dynamics between the two characters. It could be a way for the author to show Snape's strictness and his attempts to correct Harry's behavior in a more extreme manner. You could try using specific tags related to the 'paddling' aspect along with Snape and Harry's names when searching on fanfic platforms.
It's quite difficult to say if there are specifically well - known 'Snape paddles Harry' fanfics that are family - friendly, as the concept itself is a bit edgy. However, some fanfics that focus more on the mentoring aspect of Snape's relationship with Harry might have elements that could be considered in that vein. For example, if Snape uses strict measures in a more educational and less violent way, it could potentially be family - friendly.
Another way Snape could comfort Harry is by standing up for him in certain situations. Maybe when other teachers or students are being unfair to Harry, Snape steps in and defends him. This act of protection can be a great source of comfort for Harry, as it shows that someone is on his side even if they have had a rocky relationship in the past.
In some fanfictions, Snape might use his advanced knowledge of potions to brew a special healing elixir for Harry. He could also use his magic skills, like a complex spell specifically designed to mend Harry's wounds, whether they are physical or emotional.
Sure, the Harry Potter fandom is huge and full of creativity. Writers might come up with a story where Harry is Snape's master for various reasons. It could be due to a prophecy or a magical bond that no one expected. In this kind of fanfiction, we might see Snape having to follow Harry's orders, which would be a complete reversal of their normal relationship in the original series. This could lead to some very intense and dramatic storylines.
One possibility could be that in this fanfiction, Snape takes Harry for some sort of training or protection. Maybe Snape realizes that Harry is in greater danger than Dumbledore anticipates and decides to take matters into his own hands. He might take Harry to a secret location to teach him advanced magic or to keep him away from the prying eyes of Voldemort's followers.
In fanfiction, Snape teaching Harry Occlumency is often a very intense and complex relationship. Snape's own mixed feelings towards Harry add layers of drama. His strict teaching methods sometimes seem cruel but are also necessary to force Harry to master Occlumency. Harry, on the other hand, is often resistant at first, not fully understanding the importance and also being put off by Snape's attitude.
Snape is always complex. In this situation, he would be conflicted. On one hand, he has his long - standing dislike for Harry (or rather, his connection to James). On the other hand, as a teacher, he has a duty to take care of a student in distress. Drunk Harry would be a bit clumsy and giggly perhaps. His judgment would be clouded, and he might see Snape in a different light, not as the enemy but as someone who could help him, which could start to shift their relationship dynamic in the fanfiction.