I can’t ever get through to my branch manager. How do I properly ask to leave?

I agree with SFC Kelly Fuerhoff, everytime I email I get better results. You can also fill our your ASK (assignment satisfaction key)

Bug them too much you might be sent to Drum or Polk......Start with an email. Maybe a phone call after they answer your email if they say to call them....

I would highly suggest NOT approaching your branch manager with a few number. I’ve had better luck asking what is available in the timeframe I was looking to PCS (always been summer as I have school aged children), and if I got nothing good (or more likely, everything was bad, like Korea, Drum or Irwin, getting the highest CSM I was on good speaking terms with to engage for me. All BMs are different, but in my knowledge (limited to CMF 35) they don’t prefer to talk to SPCs (or any rank under SFC) directly on the phone without saying so first. Never EVER piss off your branch manager. The Army is not Burger King; you will not have it your way.