Simply put, I don't think that will work.
It may, or may not, cause damage to some piece of gear. But I've read other threads where people ran the same type of setup:
mics > battery box > preamp > recorder
and with that setup, the preamp was not providing gain. I'm not sure what the technical terms were, but basically, it didn't work for other people who tried the same type of setup (mics > bbox > preamp > recorder).
I'm sure Chris Church (and others) can chime in and provide further info than this.