Tailoring the crystal structure of plasmonic nanoparticle superlattices is a crucial step in controlling the collective physical response of these nanostructured materials. Various strategies can achieve this goal for isotropic nanoparticles, but few of them have been successful with anisotropic building blocks. In this work we use hybrid particles, consisting of gold nanorods encased in silver shells with a thickness that can be controlled from a few atomic layers to tens of nanometers. The particles were synthesized, characterized by a combination of techniques and assembled into supercrystals with a smectic B configuration, i.e. with no interlayer positional correlation. We showed that, by tuning the silver shell thickness, the in-plane order can be changed from hexagonal to square and the lattice parameters can be adjusted. The spatial distribution of the supercrystal was systematically studied by optical and electron microscopy and by small-angle X-ray scattering. Through optimized surface chemistry, we obtain homogeneous, millimeter-size films of standing nanoparticles, which hold promise for all applications using plasmon-enhanced technologies.