Hi Kevin,
a possible implementation would look very similar to a 2-wire or 3-wire RTD measurement.
I attached an according proposal using one of our newest 24-bit ADC's, the ADS1220. This device might be easier to use than the ADS1248 and should suffice your needs if you only need to measure the potentiometer. But you could certainly implement the same circuit with ADS1248 as well.
You might want to use an IDAC setting of 100uA, Gain = 2 and an RREF which is slightly larger than 10k. But you can play around with those values to get the best performance out of your system.
Regards,