Not very common but it's possible to have a mixed migraine-Cluster disorder. Makes treatment more complex and so it's very important to be working with a doc with deep experience/knowledge.
Most docs, even neurologists, lack education/training so don't be shy about taking to your present doc about his background in this area.
If you want to consider a headache specialist:
LOCATING HEADACHE SPECIALIST
1. Yellow Pages phone book: look for "Headache Clinics" in the M.D. section and look under "neurologist" where some docs will list speciality areas of practice.
2. Call your hospital/medical center. They often have an office to assist in finding a physician. You may have to ask for the social worker/patient advocate.
3. Multimedia File Viewing and Clickable Links are available for Registered Members only!! You need to

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; On-line screen to find a physician.
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Look for "Physician Finder" search box. They will send a list of M.D.s for your state.I suggest using this source for several reasons: first, we have read several messages from people who, even seeing neurologists, are unhappy with the quality of care and ATTITUDES they have encountered; second, the clinical director of the Jefferson (Philadelphia) Headache Clinic said, in late 1999, that upwards of 40%+ of U.S. doctors have poor training in treating headache and/or hold attitudes about headache ("hysterical female disorder") which block them from sympathetic and effective work with the patient; third, it's necessary to find a doctor who has experience, skill, and a set of attitudes which give hope of success. This is the best method I know of to find such a physician.
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NEW certification program for "Headache Medicine" by the United Council for Neurologic Subspecialties, an independent, non-profit, professional medical organization.
Since this is a new program, the initial listing is limited and so it should be checked each time you have an interest in locating a headache doctor.
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WHY A HEADACHE SPECIALIST IS RECOMMENDED
Headache. 2012 Jan;52(1):99-113.
Cluster headache in the United States of America: demographics, clinical characteristics, triggers, suicidality, and personal burden.
Rozen TD, Fishman RS.
THERE REMAINS A SIGNIFICANT DIAGNOSTIC DELAY FOR CLUSTER HEADACHE PATIENTS ON AVERAGE 5+ YEARS WITH ONLY 21% RECEIVING A CORRECT DIAGNOSIS AT TIME OF INITIAL PRESENTATION.
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I beleive there is mateial, in the buttons, left, addressed to our family, fiends, etc. See if something useful for you.
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Finally, before you start using any treatment ideas you read here, that you get a firm Dx. Do you have Cluster, onlyh, or a mixed Cluster/migraine picture. Will affect your treatment.
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These sites which are worth your attention: medical literature, films, plus the expected information
about CH.
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Multimedia File Viewing and Clickable Links are available for Registered Members only!! You need to

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Search under "cluster headache"
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Full of articles, blogs, book: written by one of the best headache docs in the Chicago area.
Worth exploring. The latest book is in e-book edition, $10; comprehensive and worth buying for
a careful read.