Get the explorer freighter thing off planet Harris. It's practically designed for this. Also, nearly any ID would work, but IMG/GMG are quite into deep space exploration, as are the Order, Zoners, possibly the BHG Core (looking for a new supply of Nomad tech, maybe?) and even, in a pinch, the house intelligence departments.
...oh, wait, I just gave myself loads of new RP ideas >.<
- /restart RhCivilian
- Go to Freeport 2
- Get 1 Liberty Rogue bribe
- Fly
That way you will be neutral with almost every faction in the game, except Xenos, Colonial, Nomads and the Guard factions... maybe I forgot another ones, but a few.
After that, get a Surveyor to have good hull and good speed, or maybe a Ragnar if you want something stronger, and it's done, go and explore Sirius and Gallia.