Do you have a previous MCAT score?
If you don't, and your stats are okay, and your MCAT is above the average for the schools you're applying for, then you could be okay. Make sure you have all the LORs ready to go the instant the scores come out, and finish your AACOMAS in June. At least they can get the ball rolling for you.
Call the schools and tell them that although your application is in, that you're still waiting for MCAT scores. Keep in good touch with them when your scores come out(I was able to email them the official score report; it's faster) just to make sure you don't end up on the bottom of the pile they never sift through.