Naruto would probably be very enthusiastic and friendly towards Lucy right away. He might be curious about her celestial spirit keys and ask a lot of questions. Lucy, on the other hand, might be a bit more cautious at first but would be drawn to Naruto's positive energy.
If Lucy never joined Fairy Tail, the friendships and relationships among the characters would form in a very different way. Also, many of the story arcs might not unfold as they do in the original plot.
Naruto has his Nine - Tails chakra which is extremely powerful. If Lucy were to use her magic to somehow channel that chakra into a new form of attack, it could be very effective. For example, she could create a magic circle that concentrates the Nine - Tails chakra and then release it as a beam of energy. Or perhaps Naruto could use his chakra to enhance the abilities of Lucy's spirits. He could transfer some of his chakra to a spirit she has summoned, making it faster, stronger, and more durable, while the spirit could use its own unique abilities to help Naruto in combat, like a flying spirit could give Naruto aerial support during a fight.
One interesting crossover could be a story where Naruto and Lucy meet in a magical world that combines the elements of the Naruto universe and the Fairy Tail guild. Maybe they team up to fight a common enemy that threatens both their worlds, like an evil wizard who wants to steal chakra and magic alike.
Well, to find a Fairy Tail fanfiction involving Lucy and Froch, start with checking out dedicated Fairy Tail fan communities. These communities often have their own sections for fanfiction. Maybe post a request there asking if anyone knows of such a fic with Lucy and Froch. Another option is to use Google. Type in something like 'Lucy Froch Fairy Tail fanfiction' and look through the search results. Some of the top results might be what you're looking for.
I'm not sure if there is a specific 'Fairy Tail Lucy commits suicide' fanfiction. Fanfiction can cover a wide range of themes and scenarios, but this is a rather dark and uncharacteristic concept for the 'Fairy Tail' universe. It goes against the overall positive and adventurous spirit of the series. However, with the vast amount of fan - created content out there, it's possible that something like this might exist in a very small corner of the fanfiction world.
In Fairy Tail fanfiction, Dark Lucy often represents a more complex and edgy version of the character. She might be portrayed as having a darker past or different powers. For example, she could have been influenced by some dark magic which changed her personality. This can add a new layer of depth to the Fairy Tail universe.
In fanfiction, Dark Lucy might be a part of a parallel universe story. In this universe, the events that shaped Lucy in the original Fairy Tail series happened differently. So she turned out to be 'Dark Lucy'. She could be a key figure in a war between light and dark forces in this alternate Fairy Tail world.
One great fanfiction could be where Lucy has to outwit Midnight in a battle of magic. Maybe she uses her Celestial Spirit powers in a new and creative way to overcome Midnight's illusions. It could be an action - packed story with lots of twists and turns.
Well, in fanfiction, Lucy might be crying because she lost a fight against a powerful enemy. Maybe she felt she let her friends down. For example, if she was unable to protect someone important in the story, it could lead to her breaking down in tears.