I was in a similar situation the whole time and just kept going, ended up graduating before everything was finished thankfully.
Fish667 it depends on how long it took/is taking your psych to submit the paperwork, but I would say you are in a better position than dpac with taking classes this semester.
Dpacheco I would probably take the classes unless you're attending online. From the 7k you mentioned I doubt that is the case though. The problem with only having a semester left for your degree is that if you transfer, you will more thank likely have to attend more than a semester's worth of classes, meaning you'd eventually have to pay for classes to graduate. I would like to think they would allow you to finish the semester even if they hit you up in September for the Academy, although, it's not a guarantee. Just food for thought. I'm glad I was able to finish my degree instead of quitting when I wanted to thinking the FAA would come through.