CBT is like that.
You might want to find a therapist on your own that uses an orientation/approach more in line with what you want. CBT is about changing behavior by changing your thought processes. Something like psychodynamic or psychoanalytic therapy are more about talking about what you're feeling and your perceptions and helps you understand what's going on 'behind the scenes'.
Here's a site that was helpful to me:
www.guidetopsychology.com.
I'm with you on the meds. I quit them because they made me emotionally flat and that wasn't my goal. Anxiety is a constant and difficult thing for me too. I've had other therapies including CBT and REBT that weren't helpful to me. I've been with my analyst for 6 months and I do feel better and I feel hopeful that I will continue to feel better.
I hope you can find someone who will really listen to you and talk to you and help with those intense thoughts. They're scarey but the become more interesting when you have someone you can safely talk about them with to help you see what's going on and making them intense.

ECHOES