I know of quite a few psychoanalysts who see clients once a week and consider that analysis, I even saw one of them (although my ex-T is definitely not an example for a great T, IMO).
I personally would tell the new time upfront what you struggle with regarding the current T and that you don't know whether it is specific to that T or something more general that will likely show up with someone else as well. Can even ask if he has productive experience with negative transference. Given that issue, perhaps it would be worth looking for someone who identifies with the school of Modern Psychoanalysis - they very much center their approach around negative transference, especially anger and are supposed to welcome it. These are also the analysts who are more likely to see clients once a week and won't have long cancellation policies although I am sure many would be happy with more frequent sessions. Many also do phone therapy if you don't find one locally and if that's something you are open to.
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