Had the same issue, of the two AME on the list one is currently 'on leave' and the other is I believe in Bahrain. I went to the listed place in Stansted UK last week for a QCAA class one initial, and was seen promptly, efficiently and learnt a few things in chatting with the AME also. Can recommend them unhesitatingly. Be interested to know if the Al Ahli hospital route works out for you. Now if Qatar flying club will just sort out my letter for the QCAA I might just be airborne soon...