Elevated liver enzymes levels can be a sign of PSC. That is what I have. Confirmed with a biopsy. A GI doctor should be able to determine the cause of your elevated liver enzymes. If he can't then I would find another doctor.

Please asked to go to a specialist and one that only deals with liver. I went to a Gastro and she did a liver biopsy and referred me to her colleague as that’s all he does is liver issues. Unfortunately there aren’t very many around. We seem to think that it has something to do with hereditary as now two of my seven sisters also have it.
My specialist said you could only get answers if you have a liver biopsy. I am on a steroid and another medicine but as soon as my numbers go to normal, and they’re almost there, I can get off my steroid.
I do feel your pain as it took me over a year to get answers.
I live in Iowa but go to Omaha for a specialist. There are two who go to Des Moines, IA also.
Good luck