He might meet an old Pokémon expert who gives him tips on hatching the egg.
In the fanfiction, Ash may come across a Pokémon breeder. The breeder would be really interested in the egg that Ash has found. They could offer to help Ash in taking care of the egg. Maybe they have some special equipment or knowledge that can ensure the healthy development of the Pokémon inside the egg. Also, Ash could meet some wild Pokémon that are curious about the egg. These wild Pokémon might initially seem like a threat but could turn out to be helpful in some way.
Ash could meet a group of Pokémon thieves who are after his newly - found egg. But then he also meets a mysterious trainer who helps him fend off the thieves. This trainer could have some knowledge about the type of Pokémon in the egg.
Maybe it's a legendary Pokemon in disguise. In some fanfictions, legendary Pokemon often play important roles. It could give Ash the egg as a test or because it senses that Ash has a pure heart. Another possibility is that it could be a young trainer who can't take care of the egg anymore and trusts Ash to do a good job.
Team Rocket would be the most obvious ones. They're always after rare and powerful Pokémon or Pokémon - related items, so the legendary egg would be a huge target for them.
He might meet new Pokémon trainers in Alola. Maybe some young kids who are just starting their own Pokémon journey.
He might meet Pikachu first. Since Pikachu is his closest and most loyal Pokemon friend, it would be likely that Pikachu would be by his side when he wakes up. Pikachu could be really confused at first but still show concern for Ash in his new state.
It could be an Eevee. Eevee is a very common yet special Pokemon. It has the potential to evolve into many different forms, so it would be an interesting addition to Fem Ash's team.
In this fanfiction, Ash could face a lot of challenges while taking care of the Pokémon egg. There might be other trainers or Pokémon who try to steal the egg. He would have to protect it at all costs. Also, he could meet some new friends who help him with the egg. They might give him advice on how to keep the egg warm and safe. And when the Pokémon finally hatches, it could form a really strong bond with Ash right from the start.
It could be a legendary Pokémon in disguise. Legendary Pokémon sometimes interact with trainers in mysterious ways. This one could have chosen Ash to receive the Dratini egg as part of some grand plan to help Ash become an even greater trainer and perhaps save the Pokémon world from a future threat.
Ash might meet a strict teacher who has no idea about Pokémon at first but gradually becomes interested in them. He could also meet a rival in school who challenges him not only in academics but also in Pokémon battles.
Well, in this kind of fanfiction, Ash might take really good care of the egg. He could keep it warm and protected all the time. Maybe he'd build a special nest for it. And when it hatches, it could be a super powerful legendary Pokémon that immediately bonds with Ash and helps him in his Pokémon journey.
There might be a young and inexperienced trainer who is lost. Ash, being the more experienced one, decides to help the trainer find their way. This new character could look up to Ash and in the process, Ash learns more about himself as a role model. It would be an interesting dynamic as Ash is usually the one being guided by his friends.