I had used Google to find mine. Since at the time I had an (open access) PPO, I didn't need a referral so I just called and made an appointment. Mine was very strict, however, and wouldn't see me until she had all of my medical records. I'm not sure if it varies by state, but my epileptologist will not treat me for any other neuro-related conditions EXCEPT seizures. So I had to have both a Epileptologist AND a Neurologist.
Mine was very set on finding the root of the problem, but after she ran every test under the sun along with cardio-related tests she kind of dropped me like a bag of poo and told me to keep taking my medicine (which never seemed to stop increasing). I also have Lyme Disease (amongst about 10 other diagnoses) which she refuses to acknowledge has any impact on neurological functioning (or lack thereof).
I will say they seem to be a lot more knowledgeable about everything inside and outside of the box. During a VEEG she was able to notice some heart issues I was having and promptly have me referred elsewhere. However, when it came to infectious disease she's very stand-off-ish.
If you don't have luck finding one, try to call your local medical learning facility. I'd guess it would be University of Utah and ask them. Most UNI's are actually helpful in finding care and some even offer it!
It's not hard to fall, when you float like a cannonball