I know this is a rather old topic, but wanted to add my 5 cent.
The first xboxes (1.0) had a 1MB Flash Tsop chip. It might we worth trying to find one of those, as you can leave half of it with a normal xbox bios and the other half with the chihiro bios. This gives you the option to reflash the Chihiro Bios when needed.
The chihiro uses the LPC for it's connection with the other board. This might make it difficult to install a modchip. The earlier rev. of xbox mobo's have most (all?) pin's of the LPC connected. The more recent rev. have some pin's of that LPC unconnected.
The MCPX chip is also responsable for the execution of the Xcodes in the bios, and they are different between the MCPX2 and MCPX3. So, you will likely need to modify your chihiro bios to make it run on the MCPX3. I am playing with the same ideas. All above comes from research I did on the topic, but isn't confirmed or tested. The xbox mobo ramchips are still available on Ebay. Soldering some new ones is easier than soldering some you removed from another xbox board. I have no idea if the chihiro uses the contents of the eeprom, but they are different from an xbox eeprom. Good luch with your project.