In an earlier paper, the van der Waals equation of state was used in combination with a common mathematical artifice for the solid-phase fugacity function to map out the sig loci for a model binary homologous series of solvent + solute mixtures as a function of the solute's parametric characterization. The computations suggested new possibilities for solid-fluid phase equilibrium topography, heretofore not reported in the literature. To provide a better understanding of these computations, the authors have computed and mapped out the critical point loci, concurrently applying phase and system stability analysis. These new computations, which confirm the earlier solid-fluid computations, provide a detailed picture of how the solid-fluid topography for this particular series of model mixtures evolves as solvent-solute parametric differences increase.