- SPI lines on the LTC2400 will use optocouplers 
Did you look at the AD71xx converters too? I guess they are a bit more complex to drive/program, but could be lower noise.
For 24-bit precision over longer time the voltage reference becomes critical. What are you planning to use?
For many transducer measurements it can be useful to get the voltage-ref as an output for the user too. i.e. drive a transducer bridge with the ref-voltage (buffered) or put a current proportional to the ref-voltage through a resistive sensor.
I'm putting together a similar system for pt100 sensors with many channels and an Agilent 34970A. I want sub mV stability with a range of +/ 10 V, and it looks like the only way to get this is to do a measurement with two polarities, e.g.:
- put +500uA through the pt100 sensor, measure the amplified voltage (4-wire connection) across it
- put -500uA through the pt100 and do the same
- subtract the results.
This should subtract out any offset-voltages (opamp offsets, thermovoltages, etc) that offset the measurement in the same direction.
So you might want a digital or analog output also from your system, to do this "lock-in" technique.
For the input-stage I'd try to make it with programmable gain/offset or at least easy (a few compontents to solder, or jumpers) to change. Some applications may want +/-10V signals others 0-5V or 0-1V or whatever.
If you split it into a DVM board and one or many relay-boards it can be modular like the Agilent. If you just put the optoisolated ADC + input-stage + voltage-ref on the DVM board with SPI + a few DIO lines interface then everyone can interface it to their favourite uC or SBC. Not everyone likes PIC, and if I mention something else someone will always hate/love it

(arduino, beagle, olinuxino, whatever)
Useful project for slow but precise datalogging - keep us posted!
AW