If noel is just mashing her way through her chain revolver then the odds are there are going to holes in the combo. Use those to strike for a CH with 5b for massive damage.
Also, there are not many ways for her to start up her drive. The only low hit she has for Chain revolver is 6D, which is utterly terrible to start off with due to the start up frames being around 30 frames. So odds are, unless they are just mashing, they will start off with 2D or 5D. If it is 2D, (overhead arc gun sweep attack) just block and 5B her to the grave.
I also wouldn't really barrier her drive unless you are about to break since it just makes her go flying losing a CH for you.