Optical diffusers serve to a variety of applications by spreading incident light over a wide angular range. In general, the ideal conditions of the optical diffuser are to simultaneously satisfy high transmittance, wide angular spread, and low color dispersion. However, in the conventional diffusers based on scattering or refraction, the above conditions fall into tradeoff relationship, which make realization a challenge. Inspired by the specific color of Morpho butterflies that give simultaneously high reflectance, wide angular spread, and low color dispersion, we have recently proposed a design of new diffuser that satisfies the ideal conditions. However, our original design was difficult to fabricate because of its high aspect ratio at nanoscale. Then, we designed a new Morpho-type diffuser having double-step structures with disordered height for the feasible fabrication. The design was verified by numerical simulations, and the structural parameters were optimized. Finally, the optimal design was proposed with ideal optical properties, which is feasible to fabrication.