The only physical place such an assembly of stars could take place isn't in the stellar arms (where we are) but in a globular cluster, where tens of thousands of stars are packed in a tight grouping.
While the configuration you suggest is still unlikely (multiple binary stars orbiting a black hole), the odds of many stars and solar systems orbiting a central black hole seem pretty high. The view would be spectacular, with the sky so densely packed with stars that it would not be dark at night, and the central black hole (assuming you are close enough to orbit it but you are not living in an era where it is consuming large masses of gas or consuming stars, so the accretion disc would be minimal or quiescent) would provide a dazzling "Einstein ring" effect, magnifying the light of stars that pass through the ring to your location.
Of course there are several issues with living in this location. Firstly, the black hole itself is very dangerous. If there is enough infalling matter, an accretion disc will form, and the frictional energy of materials accelerating at high fractions of c will be emitting radiation in all wavelengths, subjecting planets to high levels of everything from infra red to x-ray radiation. Life will have a hard time establishing itself or evolving under a powerful barrage of radiation. The powerful gravitational field of the black hole will also have stars orbiting at tremendous speeds, so the odds of close stellar encounters disrupting planetary orbits is actually quite high.
Another, and more subtle issue is globular clusters are very old structures, and formed when there were far fewer "metallic" elements in the universe. Metal poor star systems will be lacking in most of the elements needed to support life, much less technology.
Finally, although the view is spectacular, globular clusters orbit the Milky Way at an average radius of 40 kiloparsecs (130,000 light-years) or more, which is sort of the opposite to the desired effect.
OTOH, if there is a means of accelerating a starship to very high fractions of c, the crew could have very little time pass while hundreds of thousands of years pass on Earth. John C Wright's "Count to a Trillion" series of books has a character waiting out a 70,000 year period while his love travels to and from a nearby cluster. Other hand waves, like hyperspatial wormholes or using the Alcubierre Warp Drive cold make the globular cluster accessible to the characters in the story.