When I don't want to do something because of anxiety - like go to a party, or the dry cleaner, or fly somewhere - I force myself to think about all the times before when I was faced with a similar situation, and went to the activity anyway. 99% of the time, I actually enjoyed myself once it was over.

When I fly, I always tell the stewardesses that I am an anxious flyer. They are SO kind about it because they see it all the time.

Go for it! Take a photo of your frightened face before you go, and a picture of your happy face when you are enjoying yourself there. Then you will always have something to look at and pat yourself on the back for!