The presence of a Hebel-Slichter peak in NMR or µSR measurements just below the critical temperature of superconductors is taken to be strong evidence for conventional behaviour and its absence heralds unconventional physics. Making this measurement has been a mainstay of NMR studies of superconductors for more than 50 years, but even though muon measurements famously revealed this phenomenon in fulleride superconductors well before NMR was able to reproduce the finding, it has rarely been used otherwise. Here we propose to make a broad survey across superconductors known from NMR to display Hebel-Slichter peaks to see how best to measure the phenomenon with muons. This is likely to be exceedingly challenging technically but success could open up a new field of study for µSR.