  We study an extension of the minimal supersymmetric standard model (MSSM)
with additional right-handed singlet neutrino superfields. While such an
extension incorporates a mechanism for the neutrino mass, it also opens up the
possibility of having the right-sneutrinos ($\widetilde{\nu}$) as the lightest
supersymmetric particle (LSP). In this work, we focus on the the viability of
rather small ($\lesssim 500$ GeV) higgsino mass parameter ($\mu$), an important
ingredient for "naturalness", in the presence of such a LSP. For simplicity, we
assume that the bino and wino mass parameters are much heavier, thus we only
consider (almost) pure and compressed higgsino-like states, with small
$\mathcal{O}(10^{-2})$ gaugino admixture. Considering only prompt decays of the
higgino-like states, especially the lightest chargino, we discuss the
importance of leptonic channels consisting of up to two leptons with large
missing transverse energy to probe this scenario at the Large Hadron Collider
(LHC). Further, we emphasize on how the gaugino mass parameters, although very
heavy, affects the decay of the low-lying higgsino-like states, thus
significantly affecting the proposed signatures at LHC.
