If Ash had to choose a weapon to use in her present state then it would need to be something that could be used to defend herself and reduce the damage taken.
The very idea of carrying around a shield in broad daylight seemed to be a very silly idea that would gain far too much attention.
It was the same for any other sharp or pointy weapon.
Anything too big to be concealed could not be taken out with her otherwise she would be reported by others for just carrying them around.
She did not even need to use them to have the police called to come and detain her.
Ash could not carry around big oversized bags that were too suspicious-looking and she could gain similar unwanted attention by doing so.
Some Balancers had their methods of transporting their weapons or tools to the locations where they would use them while others could make sure that they would arrive for their usage but Ash could not rely on such things.