We study accommodation of an excess charge carrier on long even-N polyynic oligomers CNH2 due to displacements of the underlying, carbon lattice and polarization of the surrounding solvent in the context of carrier self-localization into a polaronic state. Spatial patterns of bond-length alternation, excess charge and spin densities are compared as derived with Hartree-Fock and two hybrid density functional theory methods (BHandHLYP and B3LYP) in,conjunction with the polarizable continuum model. Quite distinct resulting pictures of carrier accommodation are found when contributions from different interactions are analyzed. Solvation robustly acts to promote excess charge localization.