Fitotrack. Question is how often, how detailed? Google does this via their tracking network so it uses way less battery.

Leaving that on all day would produce pretty big files and suck up lots of battery.

You can create a new Fitotrack profile and set the details to pretty rough, this will save some space.

I would advise against OSMand, its interface is not perfect for recording and the App is huge so it will probably use up way more battery