We consider two classes of -- quasi-Yukawa unification scenarios which can arise from realistic supersymmetric SO(10) and models. We show that these scenarios can be successfully implemented in the nonuniversal Higgs model with and the constrained minimal sumersymmetric model frameworks, and they yield a variety of sparticle spectra with Wilkinson Microwave Anisotropy Probe compatible neutralino dark matter. In the nonuniversal Higgs model with , we find bino-Higgsino dark matter as well as the stau coannihilation and -funnel solutions. The constrained minimal sumersymmetric model case yields the stau coannihilation and -funnel solutions. The gluino and squark masses are found to lie in the TeV range.