If we were to find another galaxy I would it like to be so dangerous and challenging that just jumping there is risky, trying to explore it only something either a super experienced explorer or insane person would want to do (fortunately I fit in either category), the rewards should be extremely high, and if you get destroyed there is no buyback, your ship dies it dies, with all its engineered modules and you end up at starter system in s sidewinder, no choice. Also there's no map, the only stars you can jump to are the nearest stars (although once mapped you can do longer jumps between them).
Basically it's a super hard challenge mode for explorers, if anyone jumps in unprepared don't expect to survive.
To put it in perspective, there is a dwarf galaxy 25,000 ly from Sol, the Canis Major Dwarf Galaxy, there was a science article a while back suggesting there may be streamers of stars spread out between Sol and the nearby Dwarf Galaxies, so putting one in with a long streamer of stars spread wide apart could possibly work with FC's, although you would have to mine Tritium to get back, so it's possible, whether it's a reasonable thing to do that's up to FDEV.