Greetings,
The Wikipedia article on thermistors explains the associated mathematics nicely.
Running those equations for the three different beta values mentioned results in plots that are nearly overlapping, suggesting that you’ll probably see as much or more error attributable to initial tolerance than from minor beta variations. Calibration would be required in any case if measurement accuracy is of interest.
A product such as the PANW103395-395 would seem quite close to what’s described.
