Plus, I thought that the FAFSA just determines how much Stafford or PLUS I get. That's what I want to avoid, where possible. I've been out of grad school since 2008, though, so I may be remembering incorrectly.
Definitely take a break, burnout is real. Most people who have taken a short break found it really helpful. If this was a few weeks before test day things may be different, but with 2.5 months out I don't think your're risking much. Good luck!