If you think about it, the setup of "Where No Man" makes no damn sense. If the Enterprise
was the first known ship to travel beyond the galaxy's edge, as the dialogue seems to imply, then how the heck did a ship get out there 200 years earlier? If there have been ships capable of making the journey for that long, why hasn't anyone done it in the interim?
It makes even less sense in the context of what's since been established about the Trek universe. Even if you go with the "almost 200 years" reference instead of the "over," it would still have had to be launched only a decade or two after Cochrane's first flight, and probably wouldn't have been capable of much more than warp 1. Since the nearest face of the galactic disk is maybe about 500 light-years away (we're roughly in the middle of the roughly 1000-ly-thick disk), it would've taken centuries to get there. Heck, the Enterprise
might've beaten it there!