He6-CRES aims to measure a potential non-zero value for the Fierz interference term b_{Fierz}, the discovery of which would indicate BSM physics, via the application of cyclotron radiation emission spectroscopy (CRES) to the beta decay spectra of 6He and 19Ne. CRES provides high-precision and low-background energy spectroscopy, though the technique faces ongoing challenges with detection efficiency. In particular, He6-CRES cannot simultaneously observe the entire energy spectrum of either 6He or 19Ne; instead, the apparatus must be tuned to observe particular energy regions. Given the expected experimental signature of a BSM signal in He6-CRES, we discuss an optimization of our statistical sensitivity to b_{Fierz} as a function of how we allocate our limited beam time among different energy regions of the beta spectra.