May I suggest you get in touch with Al Ahali Hospital (44898551 or 44898581)? I know they do antenatal classes, but I don't know whether you have to be registered with them as a patient. If you do have to be registered, they may be able to let you know of an alternative.
Also get in touch with Doha Mums via their website (www.dohamums.com). I know someone that is a member and had a Doula, which is another option you may like to consider. Good luck Newgirl!