You should check with Jon at Naiant (mshilarious here), but I don't think you'd need the AT phantom power modules if you went the tinybox direction. The tiny box should be able to be configured to power your Franken naks directly, you'd only need the correct cable/cable adapter to go from the franken nak capsule cables (3pin mini-XLR) to the input of the tinybox.
So probably meaning a 2x 3-pin mini-XLR to single 5-pin or 6pin mini-XLR cable for connecting your mics to the tinybox. I'd bet it would make a great sounding solution, and quite small, esp if you could ditch the AT phantom adapter modules.