Well, one thought would be to blow off the jump # = parsec range scale, and Go Big.
Kiloparsec would be probably a bit too far, perhaps 10 parsec per jump number. Then you can have nice civilized routes between major worlds, and arguably 100s of systems in easy distance that are seldom visited and can provide all the mystery and exploration you want on tap.
Each hex would effectively be a 10 parsec wide subsector, which you could skip mapping or map out at will, and players could go straight to with J-1/2.
Then if some system becomes the Nevada silver strike/North Slope Oil, it shows up on the map for X decades then drops off as the resource plays out and everyone moves on.
Strategically the maneuver vibe would be closer to Star Wars, with rebels disappearing into a morass of uninhabitable systems and being able to pop out and strike any major target at will.