With the resolution you seek, standard values won't get you there in one step. I recommend choosing one common value, and for the other leg combining resistors in parallel to trim the value down.
For example: with a TL431 I would use a 10k 1% on the bottom leg which always sees a nominal 2V495, which I would measure with ref shorted to cathode. For the upper leg I would start with 750R and measure the actual resistance. After measuring the shunt voltage, expecting 2V655 to 2V709, I will know how far the '431 is off the nominal voltage and about how much reference current the chip needs. Then I would select a resistor to parallel with 750R to get the target value of 516R to 729R, which could be from 1k6 to 26k.