We report on a first study towards the use of stabilised Wilson fermions in heavy flavour physics. In particular, we are interested in fixing the charm quark mass via various physical observables and to inspect cut-off effects arising from different choices. This is done on large-volume OpenLat ensembles with periodic boundary conditions. Two different ways of fixing the charm quark mass are explored, namely using the mass of the $D$- and $\eta_{\rm c}$-meson as physical inputs. We furthermore give an update on our determination of the non-singlet axial current improvement coefficient $c_{\rm A}$.