I'm very proud of you, and you should be too. It is incredibly difficult to get to this point in recovery. Incredibly.
Half hearting therapy is a waste of time for everyone, but a lot of people (including me) find it keeps them alive. Coming to the realisation that confronting the root of the problem is the only way back to a healthy life is so hard, and takes an immense amount of bravery.
Whatever therapy they decide for you, it is important you be open and honest with your workers. My advice would be to keep a diary of your thoughts and feelings which you can consult at the start of the session and talk through together. This can be helpful for you to review and notice trends in your behaviours/thoughts, and for the therapist to look for additional meanings and strategies. (Plus if you're like me, you'll forget what you wanted to say and it's help to have a written prompt so you cover everything you need to).
Keep going. This is the final push and it may be the hardest. But
you will succeed if you continue to maintain this attitude.