I don't mean to come across as obnoxious... but why did you wait this long to apply? Some of the schools start class in a month!
While I think your best bet is to apply for next year's cycle and give yourself the opportunity to choose from a number of schools instead of taking whatever table scraps *poor choice of words, I know* are left behind...
...if you're absolutely heart-set on getting started right now (something that I do understand), you need to pick up the phone and start calling every admissions office you can. You'd be surprised at the number of programs that have sudden openings at this point. I know one of my classmates that was accepted into our program the week before class started (but he was on the wait list). I've heard of students interviewing in June... but good grief... its going to be July in a few hours!