  Scintillating calorimeters are cryogenic detectors combining a measurement of
scintillation with one of phonons to provide particle identification. In view
of developing alkali halide devices of this type able to check the DAMA/LIBRA
claim for the observation of dark matter, we have simulated detector
performances to determine their sensitivity by two methods with little
model-dependence. We conclude that if performance of the phonon channel can be
brought in line with those of other materials, an exposure of 10 kg-days would
suffice to check the DAMA/LIBRA claim in standard astrophysical scenarios.
Additionally, a fairly modest array of 5 kg with background rejection would be
able to directly check the DAMA/LIBRA modulation result in 2 years.
