I, too, had this problem after every stim cycle. I had leftover cysts. I would take bcp for a month and start stims again. It was very frustrating in the beginning, but after a few cycles, I just knew to expect that. From what I understand, they don't want to move forward with more stims, as once you get further along in your cycle, they don't know what are the new follicles and what is the old cyst.
I don't have any experience with the drug that they put you on, but I am sorry that you are having to go through it.