Luna could be a visitor. Luna has a unique way of seeing the world, and she might come to Harry's place to exchange ideas about some strange magical theories she's been thinking about. And, of course, Neville could visit too. He and Harry could talk about their experiences with plants and Neville could give Harry some tips on how to grow magical plants around his new home.
Hermione might visit Harry. She would probably be worried about him living alone and bring him some books she thought he'd like or some new potions she'd been working on.
One possible plot could be that Harry, after years of dealing with the chaos in the wizarding world, decides to live by himself to find inner peace. He might choose a secluded place, like a small cottage deep in the Forbidden Forest. He spends his days studying ancient magic that he never had time for before, and perhaps he starts to document his past adventures in a detailed journal.
His best friends, Ron and Hermione, would most likely visit him. They have always been by his side through thick and thin, so they would find a way to get to the tent to check on him, bring him supplies, and offer their support.
Perhaps he's dealing with some sort of trauma. For example, after the many battles he's been through, like the fight against Voldemort, he may be suffering from post - traumatic stress disorder. To cope with this, he isolates himself from others as he doesn't want to burden them or he's just too caught up in his own dark thoughts.
Hermione could be a main character. She might try to figure out why Harry hates himself and be the one to pull him out of that dark place. Ron could also be there, maybe at first not understanding Harry's self - hatred but later becoming a source of support. Dumbledore could be another key character, as he often has insights into the students' minds and could play a role in helping Harry deal with his self - hatred.
Hermione would most likely be one of the main characters. She's always observant and caring towards Harry. So when she notices something is off with Harry, she would do everything in her power to figure out what's wrong and help him. She might use her extensive knowledge of magic to find a solution to his emotional distress.
One character could be Dobby. Even though Harry is living alone, Dobby might still find a way to visit him and offer his help. Another could be the Hogwarts ghosts. They can pass through walls and might visit Harry in his solitary abode.
There could be an old French wizard named Alphonse. He might be a mentor to Harry, passing on his knowledge of ancient French magic. Also, a young French witch named Celeste could be a main character. She and Harry could develop a friendship or more, and she could be part of Harry's new life in France, like helping him understand the French magical education system which is different from Hogwarts.
Hermione could be one. She might follow Harry to Australia to continue their adventures together. She could be interested in studying the different magical plants in Australia and how they can be used in potions.
Dumbledore might make an appearance. He could come to give Harry some advice or to share some important information about the war against Voldemort. Dumbledore might also be interested in seeing how Harry is faring in the old Black family house and if he's discovered anything of significance there.
I think Dobby could be an important character. Since Harry is raising himself, Dobby might take it upon himself to secretly help Harry. He could provide some food and small comforts when Harry is all alone. Another character could be Hedwig. She would be more than just a pet; she could be Harry's only true companion, helping him in small ways like delivering messages or even warning him of danger.