I've got an AA Dac-in-the-Box, and the power supply says +/- 14VDC @400mA, and it has an 1/8" three conductor (not two conductor like most standard DC power supplies) plug that goes into the DITB. I don't know if it is a "switching" power supply or what, but you can't just hook up 14V worth of batteries and make it work. You might want to ask on the DIY board if you want to try to make a battery power supply for an AA DAC. My advice would be to use a small DAC with regular power supply when close to an AC outlet, and plug your PCDP into your portable headphone amp when in a true portable environment with no power near. The only easily transportable DAC's I know of are the AA line (out of production for about 5 years), the ART DI/O (no optical in), and the Creek (might be easiest to use batteries with if you must).
My personal opinion is that you will lose any subtle improvements a portable DAC would give you in a potentially noisy environment, unless you are possibly using Ety's. Just my opinion.
-Keith