A generic model Hamiltonian is proposed for the study of the transport in a quasi-one-dimensional semiconductor in the charge transport regime intermediate between dynamic localization and static localization due to structural disorder. This intermediate regime may be appropriate for many organic semiconductors, including polymers, discotic liquid crystals, and DNA. The dynamics of the charge carrier is coupled to classical Langevin oscillators whose spectral density can be adjusted to model experimental systems of interest. In the proposed model, the density of states is constant (at constant temperature) and the transition from dynamic to static disorder is controlled by a single parameter. This paper further clarifies that the density of states may not contain all the information needed to describe the charge transport in some materials.