Hi Eeyore!
I'm afraid to go to the doctors from different reasons, but I understand how you feel. What works for me (it may sound weird, but it works most of the times) is to tell te doctor/nurse that you don't fancy (so to tell) this procedure and his/her close attention to your body. Even if you don't mind the injections and check-up (I do very much mind them), you can consider to tell this, since then you earn this person's sympathy before he turns to be your enemy. I always try to explain that this is nothing to do with the specific medical staff person, but it is my problem, a very old one. Then I usualy say that although I wll try to cooperate as much as possible, I will probably refuse to do some things. If you can see that he/she is might be gifted with sense of humor, you can even joke about it, or at least smile disapprovingly at yourself. The usual reaction to this is more understanding, tender and thougfull approach taken by doctor/nurse and it also lets you an opportunity to avoid things that you want to avoid. If you have already appologized for it, they do not get angry and uncooperative. Since you go there because of the trip and not medical problem, I think that you may even leave there unchecked at all.
Regarding the cutting problem, I tried it for myself once and I can clearly see how it helps. On the other hand not to to be needed for this is much nicer feeleing and I very much wish you to find other ways to help youself. Good luck!!!