  Motivated by recent indications that the rates of colour-allowed non-leptonic
channels are not in agreement with their Standard Model expectations based on
QCD factorisation, we investigate the potential to study CP asymmetries with
these decays. In the Standard Model, these flavour-specific decays are
sensitive to CP violation in $B^0_{(s)}$--$\bar{B}^0_{(s)}$ mixing, which is
predicted with low uncertainties and can be measured precisely with
semileptonic decays. If there are beyond Standard Model contributions to the
non-leptonic decay amplitudes, there could be significant enhancements to the
CP asymmetries. Measurements of these quantities therefore have potential to
identify BSM effects without relying on Standard Model predictions that might
be affected by hadronic effects. We discuss the experimental prospects, and
note the excellent potential for a precise determination of the CP asymmetry in
$\bar{B}_s \to D_s^+ \pi^-$ decays by the LHCb experiment.
