Bamba,
Is the criteria of having available batteries important? Otherwise, there could be another (eventually) good solution (in terms of output/runtime) that is the Nitecore Tip 2018. It is USB rechargeable (through Powerbank or electricity), has a good ouput and despite being bigger that an AAA light, it is quite “concealable” in a purse or pocket!

I use mine on the neck, sometimes , with 2mm paracord adustable lanyard. Maybe it could be an option too!

EDIT: It has memory, so it will turn On in the last used mode, though :zipper_mouth_face: