Best odds would be talking to a guy running a salvage character as they are the most likely to try and board an old ship.
You could convince some Sith players to do it. Maybe join their faction and ask one or two, perhaps, even make it a mini-faction mission for 2-3 lower end sith that run into pirates trying to salvage the ship, and they run into your chamber.
Neither of my characters would do it... hmm... You may be able to find a few Jedi that could go aboard the old star destroyer... but that might not end in your favor as coming out of cryogenic sleep; you won't be in the best shape to fight off a few Jedi. I did just PM, with my other character, another Jedi Padawan to see if she wanted to do an RP, and we may be able to have it be a 'mission' where we were sent to investigate the ship, but this would be a stretch as I don't see them sending two padawans to an old Star Destroyer.
If I was you, I would try either the first or second one.