You may also check out the Tricare mental health benefit--I believe every member and dependent gets something like six visits to a mental health professional, covered by Tricare, and maybe even unreportable to the flight doc. You may want to make inquiries on this to the local on-base mental health folks...they could give you some good anxiety coping techniques....but call only, or go in in civvies, and don't give them your name until your sure they will talk to you w/o reporting you to the Flt doc or your CC.
Go see the chaplain--he/she is absolutely trustworthy to not narc on you about anxiety--regardless of your religious affiliation, I've found them to be very good counselors over the years when I needed to renew my mental armor.
Or, you could see Dr. Google for anxiety coping techniques and never set foot in the clinic--Dr. Google may even give you better advice...
Good luck.