I didn't graduate and either did a third of my class. A lot of D schools really don't care, even though on their little FAQs it always says prefers bachelors, bogus I must say. They are all about looking good when they publish their little stats in whatever ADEA book or whatever. Do you really think that a person with a spanish degree having only taken the bare minimum prerequisites is going to do better than a bio major that fell 2 classes short like me, maybe, maybe not, I doubt it though, if so its not because they got a bachelors I will tell you that.
I will say that you may be sorry in the end if you want to specialize because many programs are masters degree granting and the graduate school won't let you in without a degree, not all, but some, kind of funny how that works.
Schools that I know when it comes down to it don't care are the following, at least here are a few:
UNLV, ASDOH, Temple, Nova, Indiana, Ohio State, Oklahoma, Case, Marquette, Maryland, VCU, Pacific, Loma Linda, Creighton, USC, and many more.