The search for sterile neutrinos is among the brightest possibilities in our quest for understanding the microscopic nature of dark matter in our universe.  Hunting for these "ghost particles" using direct methods has proven to be a significant challenge since sterile neutrinos are predicted to have much weaker couplings to the Standard Model (SM) than the active neutrinos.  As a result, the existence of these elusive particles are best probed indirectly via momentum conservation with SM particles.  One way to observe these momentum recoil effects experimentally is through high-precision measurements of electron-capture (EC) nuclear decay, where the final state only contains the neutrino and a recoiling atom.  This approach is a powerful method for BSM neutrino mass searches since it relies only on the existence of a heavy neutrino admixture to the active neutrinos, which is a generic feature of neutrino mass mechanisms, and not on the model-dependent details of their interactions.  In this talk, I will discuss the Beryllium Electron capture in Superconducting Tunnel junctions (BeEST) experimental concept, which uses the decay-momentum reconstruction technique to precisely measure the 7Li recoil spectrum 7Be decay in sensitive superconducting tunnel junctions (STJ).  I will also present the first limits in our experimental program and describe future plans of scaling up the BeEST, which includes mapping the location and environment of the individual atoms in our sensors using state-of-the-art material science methods.