Hi Elizabeth,
Mayo Clinic in Rochester, MN has a program of liver transplant for cholangiocarcinoma. It is the only institution in the country which has an ongoing study and evaluation of liver transplant for cholangiocarcinoma. Their 5-year survival is about 80-85%.
Don't feel disappointed is you are told that the cancer is inoperable because that is the nature of cholangiocarcinoma at the time of diagnosis. As long as it does not spread outside of the liver or bile duct and gall bladder system, your brother may be a candidate.
You may also like to check with Mayo Clinic in Florida and Arizona. Their waiting period for transplant may be shorter.
Good luck.