I think in a way, there are a lot of things about Shaw that is constant in whatever 'verse she's in.
John and Root were similar in a lot of ways because their drive and purpose are brought about by external influences, for Shaw her drive and purpose is self-directed.
In my opinion, post-season 5 Shaw would have continued to make sure that any surviving Samaritan cell would be eradicated, she would do that with or without the Machine.
I would like to think she would go back to the Johannesburg prison and help free Samuel and his friends because she owes him and that building needs to be burned to the ground.
Along the way, I would also like to think that she'd save Control much to Control's chagrin and grudging respect. Agent Shaw was always her best operator.
If the Machine hadn't returned I don't think Shaw would work the Numbers of the Week, at least not the way she would with the help of the Machine. She'd help people who needed help when comes across them, or maybe Burn Notice style, with the people she helped before telling them about the mysterious woman with a dog who saved them.
She would continue what she did best and fighting the good fight because that's who she was, a straight arrow.