Sorry you had a rough night. I had a very similar experience as you. Took several hammocks to begin to feel I could camp in one. Here is my story:
I finally found I could sleep in a bridge hammock. I move a lot and a bridge hammock let me do it. Since then I have trained my body to sleep in a gathered end. I am going to suggest you try a bridge and see. I would encourage you to keep trying. Hammocking opens a whole world of camping possibilities that are not always possible with tents. Don't get me wrong, tents certainly have their place and purpose. I feel that any backcountry camper needs to have a hammock in their quiver to expand their experience.
Also try shorter naps at home and build up to a full night. I think being at home might make a difference for you knowing you could bail at any time.
I hope that you keep trying. It is so worth the initial discomfort and trail and error. Best of luck!