This is so common, I had a maxillofacial surgeon tell me I had clusters after a root canal did nothing to help me.
You never know what type of doc your gonna get until you meet them for the first time. My doc not only knows clusters but also looks at and supports this site. You may luck out and get a clear diagnoses and find out its not clusters (that would be ideal) or you may end up having clusters(not so much fun) but at least you will know what path you will need to take.
Your above description sounds like clusters to me for sure, you also seem to have a somewhat upbeat attitude about this knowing the type of pain your having. Keep your head up and just take it one step at a time and we are all here to help answer any questions you may have.