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Endeavor seems like it would be one of the first one hundred names thought up by Starfleet.
If this is the Galaxy's little sister perhaps call her a Stellar class starship to fit in with the Galaxy/Nebula theme and have the class names stars as some of the star names are quite beautiful and would really suit a small, beautiful explorer such as this.
Lol. Quadrant is ok, though something about Stellar just struck me.