Well she'd try throwing it into a sun next but with the water generation she doesn't think she wants to risk it, might fuck up the sun. And she can't get to any others without navigation of any kind, she's already kind of pushing it where she is, with Earth still in view.

Let's see. Rip all of its outer layers off, then try hitting it with herself as fast as she can go? Maybe see if bullshit invulnerability will break bullshit invulnerability.