My therapy sessions sound pretty much like you describe, with feedback and lots of back and forth, etc (I don't like the silent mask thing either), and my T describes what she does as 'an eclectic style of counselling'... I think what you're probably looking for is based around the humanistic approach, maybe look at the person centred approach, too?
Of course I think it all depends what the individual therapist does with their particular skillset, their personality, their style... when trying to find a new T try and look at their website if they have one, they usually give a decent description of the type of thing they offer, and you might get an idea of who they are, their philosophy, etc... and then maybe call them up and have a chat about it?
My dad actually found my T for me - and he says he chose her in particular because she had some kind of philosophical Buddhist type quote on her website, and he's kind of into that sort of thing...

lol, it could have gone all sorts of ways, but I let very lucky! I guess my dad knows me pretty well, he did good.

Got anyone close to you who could help you narrow the search down?!