We develop connections between a string-motivated realization of the minimal B-L extension of the MSSM and LHC-observable phenomenology. Using a random scan of the high-scale parameter space, together with numerical solution of the renormalization group equations, we connect the model's roots in String Theory to its phenomenological implications for the LHC. One predictive result of this approach is a limited set of possible lightest supersymmetric particles (LSPs). Motivated by this result, we study the implications of a stop or sbottom LSP at the LHC. This yields predictive connections between the neutrino sector and the LHC. We present lower bounds on the mass of stop and sbottom LSPs.