  Motivated by D-brane model building, we evaluate the $\cal{F}$-$SU(5)$ model
with additional vector-like particle multiplets, referred to as flippons,
within the framework of No-Scale Supergravity with non-vanishing general
supersymmetry breaking soft terms at the string scale. The viable phenomenology
is uncovered by applying all current experimental constraints, including but
not limited to the correct light Higgs boson mass, WMAP and Planck relic
density measurements, and several LHC constraints on supersymmetric particle
spectra. Four interesting regions of the parameter space arise, as well as
mixed scenarios, given by: (i) light stop coannihilation; (ii) pure Higgsino
dark matter; (iii) Higgs funnel; and (iv) light stau coannihilation. All
regions can generate the observed value of the relic density commensurate with
a 125 GeV light Higgs boson mass, with the exception of the relatively small
relic density value for the pure Higgsino lightest supersymmetric particle
(LSP). This work is concluded by gauging the model against present LHC search
constraints and derivation of the final states observable at the LHC for each
of these scenarios.
