  We examine the possibilities for constructing models with Dirac gaugino
masses and unification of gauge couplings. We identify one promising model, and
discuss to what extent it can have a "natural SUSY" spectrum. We then determine
the low-energy constraints upon it, and propose a constrained set of boundary
conditions at the unification scale. We describe the implementation of these
boundary conditions in the spectrum-generator generator \SARAH and we perform a
first exploration of the parameter space, specifically searching for points
where the spectrum is relatively light. It is shown that the pattern of the
masses of SUSY states is very different compared to any expectations from the
constrained MSSM.
