Adiabatic rigid body diffusion Monte Carlo techniques are used to investigate the structure and spectroscopy of complexes of one to four neon atoms with SH ((A) over tilde (2)Sigma(+)). While these systems contain multiple low-lying minima, the ground state wave functions are well described by a neon cluster weakly interacting with SH. This structure persists in low-lying excited states, in the case of complexes of two neon atoms with SH or SD.