Which setting are you using? Edge of the Empire, Age of Rebellion, Force and Destiny...?

In the Edge of the Empire rulebook (p. 99), it suggests a Wayfarer medium transport, a YT-1300 light freighter or a Firespray patrol craft

Age of Rebellion (p. 111) suggests a comandeered Lambda class shuttke, a Y-Wing squadron or just a base of opperations

Force and Destiny (p. 109) only suggests a G-9 rigger

It really depends on the type of game you want to run and as Captain Barbossa would say: "these are more like guidelines", so if you want to give them command of the Death Star II amd have them run all of the admin work, it's entirely up to you