TAS, I firmly believe that clients are experts in their own lives. Sure there are times in our lives when our Ts call us on stuff we may not be aware we're doing but the bottom line is you have the right to choose what type of therapy you receive.
You seem very clear that what you need in a T is someone boundaried who allows some contact between sessions. Since current T is not going to provide this, the only way to have this is to find someone else and discuss it up front, and not stop until you find someone you can work with.
Personally, I am at a point in my journey where I don't need that flexibility - but I did once. I do need warmth. I have straight up asked Ts before I agree to see them how they feel about showing warmth and care because I do not cope well with a blank, emotionless screen. That is not me behaving like a special snowflake, it is a reasonable need to have.
Time and time again, all the research shows that the one thing that affects the outcome of therapy is the quality of the therapeutic relationship, as judged by the client,
not the therapist. For whatever reason you guys don't seem to meet in the middle.
Personally, I don't believe therapy needs to be this hard, or this painful all the time. You can try and tough it out, take some risks, tell him how you feel - and you might eventually come to an understanding together but there is nothing wrong with choosing not to continue.
I read one of ShrinkLady's responses on her website
to a woman called Kathy. I think she makes some really good points about why people stay in therapy when it's not working out. You might find it an interesting and helpful read.
I'm sorry things are tough TAS.