Hello Knuckles,
Your goal seems to be exactly what I have been doing in all of the pokemon games I have played. But my goal is a little slightly different. My rare Hunting goal is to hunt down the perfect Shiny Gastly. I will not stop until I have a 31x6 Timid Shiny Gasly. Once I get and I will get it, I will go and Hunt down a Female Shiny Feebas. My hunting goal is to hunt down all of my Favorite pokemon in their Shiny Forms to blow everyone away. My end Goal is to be exactly like Red is sitting in the front of the Kanto Elite 4. You have no chance of winning, but are forced to admit your defeat.