Dawn,
You have started stability tests using a “regular” Xbar chart. However, you did not mention a chart for dispersion (R, s, sigma, etc.)?? Assuming a dispersion charts exists, then the calculation of the limits is straightforward for a “regular” control chart. If a chart for dispersion does not exist, that is another matter.
Control limits do not give an accurate range of the readings. Rather, the purpose of control limits is to determine when a process is in or out of a state of statistical control. A process can be in control and still not be stable. Perhaps you are referring to process capability? It sounds, however, that what you are trying to do is not typical. Perhaps I am still missing something. Additional details may be required.
There are many SPC programs, but I prefer Statview with the QC module installed.
Best Regards,