Make it happen. There is no luck or circumstance here, you might think that you don't have the time but that is bullshit. In the real world there is no whining about your summer being booked or how many credit hours you have to take, your employer/client wants it done and has to be done. It may be that you need to sacrifice time from other things, just cope with it. Also, there isn't any need to worry about taking the test in Sept/Oct. Have your apps ready to go when you get your score, you will still be ahead of most applicants. Make it happen motherfucker!
edit: this is friendly advice, read it in the voice of an enthusiastic pal.