According to AAMC, they're processing applications that were submitted 7/28 so barring anything extraordinary with your verification, you should be verified by the end of the week. You'd certainly be able to submit secondaries starting before September.
Your stats are good, and if your EC's aren't restrictive - go for it. You have FAP, you can apply broadly. If you focus your time, completing 0.75 - 1 secondaries per day is very attainable.
Are all of your LOR's in?