  We discuss a novel strategy to construct 4D N=0 stable flux vacua of type II
string theory, based on the existence of BPS bounds for probe D-branes in some
of these backgrounds. In particular, we consider compactifications where
D-branes filling the 4D space-time obey the same BPS bound as they would in an
N=1 compactification, while other D-branes, like those appearing as domain
walls from the 4D perspective, can no longer be BPS. We construct a subfamily
of such backgrounds giving rise to 4D N=0 Minkowski no-scale vacua,
generalizing the well-known case of type IIB on a warped Calabi-Yau. We provide
several explicit examples of these constructions, and compute quantities of
phenomenological interest like flux-induced soft terms on D-branes. Our results
have a natural, simple description in the language of Generalized Complex
Geometry, and in particular in terms of D-brane generalized calibrations.
Finally, we extend the integrability theorems for 10D supersymmetric type II
backgrounds to the N=0 case and use the results to construct a new class of N=0
AdS4 compactifications.
