Have you asked your psychiatrist about this concern? If they are unable or unwilling to address that issue, they will certainly be able to refer you to someone who is able to help. Its not a one-size-fits all profession and most are more interested in getting you the help you need than keeping you pigeon-holed in something that isn't working just to keep you money flowing into their pockets.
Also...the internet is a pretty good resource. I googled "addictionologist family counseling" (and my location)....and sure enough...the reputed top guy in the area popped right up.
You're right to ask questions if your current therapy isn't meeting your needs...just be sure to keep asking questions until you find something that fits. You'll know.