Chiron, the centaur mentor at Camp Half - Blood, might get involved in the rescue. He has a vast knowledge of the demigod world and could use his wisdom and connections to track down Luke and free Percy. Also, some of the other demigods at the camp who look up to Percy might volunteer to help, like Clarisse. She may not like Percy much, but she wouldn't want a fellow demigod to be in the hands of Luke.
Another great author is 'MythologyFanatic'. They are good at incorporating other mythologies into the Percy Jackson universe in their fanfictions. When it comes to Luke - Percy stories, they often add new elements from different mythologies that make the relationship between the two characters even more interesting and complex.
Percy would likely be very critical of their lifestyle. He comes from a world where family is important and they support each other in the face of danger. The Dursleys, on the other hand, seem to shun anything out of the ordinary and are unkind to Harry. Percy might try to show them a different way of living, with more love and acceptance, though they probably wouldn't listen.
His first reaction might be shock. Dragons aren't exactly common in his world, even with all the mythical creatures. But then his hero instincts would kick in. He could try to befriend the dragon, thinking it could be an ally in future battles against the Titans or other enemies. He might offer it some food, like a fish or something, to gain its trust.
There are fanfictions where Luke and Percy are forced to work together in an alternate universe. In this universe, the gods are all missing, and they have to rely on each other's skills. Percy's water powers and Luke's combat abilities would make them a formidable team. They would face challenges like dealing with powerful monsters and trying to find a way to bring the gods back while also mending their own relationship.
Yes, there are quite a few out there. Some fanfiction platforms like Archive of Our Own (AO3) have a wide range of such stories. You can search using the tags related to Percy Jackson, Luke Castellan, and the gay relationship to find ones that suit your taste.
Well, one possible plot could be that Luke kidnaps Percy to use him as a bargaining chip. Maybe he wants to trade Percy to the Titans for more power or a higher position. Luke might keep Percy in a secret location, like an old, abandoned temple. Percy, of course, would try to escape and find a way to warn his friends at Camp Half - Blood.
There's also 'Percy and Luke: A Different Path'. This fanfiction takes a different approach. It imagines if Luke had made different choices early on. Percy plays a key role in guiding Luke towards a better path, and their relationship blossoms as they both learn and grow together.
Yes, there are quite a few. You can find them on popular fanfiction websites like Archive of Our Own. Some explore their relationship in alternate universes where they overcome the animosity from the original series and develop a romantic bond. It often delves into the complex emotions and character development that could lead to such a relationship.