I do not think that what "type" of a degree typically matters. A lot of people go to graduate school and pursue a different field of study from their undergrad. I too ended up having to finish my degree via distance education and had no trouble applying and being accepted into programs. It's still a B* degree, after all. As long as the other parts of your application are good (GRE, SOP, LOR), I cannot foresee why you couldn't get into a graduate program.