Hi I hope you can get help closer to home. I thought about it some more, and a one hour breast-feeding clinic sounds way too short. After thinking about it I wonder if that would really be worth traveling so far for. One hour would not even really be enough for a single one on one lactation appointment.
A pump can appear to be working fine and still not be working fine. Trust me on this. Unless you can have your pump tested which I sincerely doubt if it so hard to even see a lactation consultant it really may not be working appropriately. I would very much suggest adding hand expression to your pumping routine. Pump output is not a good indicator of milk production. However if you're unable to remove milk effectively with a pump, that is going to keep hurting milk production.
Your pumps website should have information on how to troubleshoot that particular pump. If it doesn't, here are a couple basic tips. Pumping should be comfortable. If you have to turn the suction up very high to the point that it hurts in order to get milk, that is a problem. If your nipple is rubbing against the sides of the tunnel while pumping, that is an indication the pump flange is too small. If too much of your areola is been pulled into the tunnel while you are pumping, that could be an indication your flange is too large. Also if you feel as if you cannot get a good suction or have to manipulate your breast a lot to get good suction, that is another indication the flange is too large. Too large might feel comfortable, but it is not good for getting the milk out.
I suggest the book making more milk for milk production problems. However we are not sure this is all about milk production right it could be the baby is unable to nurse effectively.
8 ounces is not all that much to be supplementing. Obviously it would be better if it was less I understand you hoped it would be none. But this is still something you can come back from I promise you.