Prevention medications and fatigue

Is there a way I can find out which prevention medications are more likely to cause fatigue and which ones aren't, or does it depend on the person? I had a neurologist at Stanford who put me on Topiramate and when I mentioned to her, at 100mg, that it was making me really sleepy, she bumped me back down to 50mg and there I stayed until I moved out of state. After we moved, I had a new neurologist and my migraines were awful! I was having them daily and was in terrible pain, so she cranked up the dose to 200mg, gradually, 25mg a week. I've mentioned to her multiple times that I am SO tired, and her response is always "Can't you sleep more?". I'm already sleeping anywhere from nine to twelve hours+ a night and it's not always sleepy tired. It's more of a "oh my gosh, I'm so tired, I can't move" tired. The other day, I went to take a drink of milk and my cup just felt so heavy. Everything is exhausting. It's not that I need to sleep all the time. It's that every task is draining. I brought my dose down to 150mg when I started having brain zaps, collapsed on the stairs, and my speech went all haywire. My neurologist wanted me to up it again, but I refused. Anyway, I don't know why she's so adamant that I stay on topiramate, but I was wondering, if I did my research and came to her with another suggestion, if she might be more likely to agree to let me get off the topiramate. I just don't know where to find the info I need. Any suggestions?