K/S Kinda HP x over, but not really

[sbmi01.livejournal.com]

Pretty sure this isn't on AO3 and it's definitely not Crown of True Kings. Anyway, here's what I remember:

Enterprise and two, maybe three, other ships are on shore leave or some sort of group training. This leave happens every few years lead by an Admiral. The Admiral brings them to this planet that has magic. Apparently the people of this planet are the descendants of the witches and wizards of Earth. Anyway, on this planet there's this Triwizard Tournament kind of thing happening. One member from each ship is picked to compete. From all the other ships the captain is selected, for the Enterprise, Spock is selected. It's a shock to the Enterprise crew and Kirk is a bit jealous/offended/something. At the end of the fic the reasoning for picking those people from the ships is that they feel like they don't fit in/belong/have prove themselves to their crew, and that was why Spock was chosen instead of Kirk. Oh, and this may be reboot, most likely reboot.