I'm not sure about the Tinybox and PIPsqueak particulars. But like seethreepo said, as long as you can turn off phantom power, you have no problem running battery powered mics into a preamp. 20 years ago I used to run a pair of AKG C1000s that each had a 9V internal battery and I ran them into a Beyer MV-100 preamp with the 48V phantom turned off.