The potential for dimness is why I suggested turning on whole layers at a time, so they are on 1/8th of the time.
The drawback is needing a bigger power supply, 1.28A. Not that big I suppose, easily provided by a wallwart.
http://www.dipmicro.com/store/DCA-0520
8 logic level, low Rds, P-channel MOSFETs to source current
8 TPIC6B595 shift registers to sink current
64 resistors sized to allow up to 20mA (typical max) for the LEDs you select.