Chris/Madmac, good on you for working on your goal to live without vomit anxiety but to enjoy life regardless. First steps are the hardest. I have no experience with EFT but by the sound of it, boy I wish I did know about it when I had anxiety attacks during my depression when I was 17-19 years old. My issue was being on a bus and not being able to get off when I wanted to. Crowded busses used to drive up me up the wall

I found it hard to leave my home sometimes as I dreaded going to college and having to leave halfway through because all the people and the amfi theatre got on my nerves. I didn't feel safe there. Gradually I started taking babysteps outside my comfortzone and going from there. I changed directions in artschool which helped me heaps in finding my way and meeting nice and inspring people who didn't judge me. I was able to relax more and to understand myself better and why I was feeling the way I was.
I think time for me has cured it along with growing up and deciding I didn't want to feel like a victim anymore. (That and soem medication for depression) My psychologist was a silly woman, who had no clue whatsoever. I went to a psychiatrist who was a great help in making me feel normal. I realised as well that depression runs in the family and to see I wasn't the only one coping with things was good.
Long story short: I now notice when a trigger comes a long and I don't let it run with me. It rarely happens anyway and to me it's a sign I need to slow down a bit and put two feet firmly on the ground, returning to centre.
I think my biggest jump was from being afraid to face the world to emigrating and starting jobs in a strange country. Basically facing the music is the best tool but start small first. Because I know I have grown so much it has helped my confidence a lot. I also found books from Susan Jeffers very helpful as I use her book as my emotional 'bible' whenever I feel a bit confused. (Dancing with life) It helps me remember what to focus on and what to be grateful for. I now realise when it's my 'lower self' yabbering and without judgement I can just let it be and it dissolves. Huraaaah life is great (even though sometimes it might not look it)

Anyway, I hope it might be of any help to you.
PS: I'm not saying that it is appropriate for you but sometimes it can help to actualy do what you are afraid of... is the vomiting representing something you are afraid off or do you really dislike the whole effect it has? What I found is that the more you resist something and fight it the more struggles you have (wanting to control it). Once I learned to feel wherever I am is ok, I am safe everywhere, my home is anywhere, the anxiety phoby thing loses it's hold. It loses its power untill you find it actually has fizzled out alltogether over time. All the best and let us know how you get on