I would say Benadryl, but that makes me incredibly sleepy too. Maybe the Dramamine less-drowsy formula? I know that made me feel less anxious on a flight a few years ago--had Xanax with me but didn't take them. Not sure if it will work for you like it does for me.
Of course, there's always having a beer or glass of wine...
If you're considering prescription, maybe try beta blockers? I've heard they can help without having some of the concerns that benzos do.