I can 100% get behind the idea that you want to find a psychiatrist that understands you or that you "connect" with, but if your gripe with your current one is that he won't prescribe ketamine even though you read online that it might help, I'd say reassess.
at the end of the day, you go to psychiatrists to access pharmaceutical treatments for mental health issues. if the one you pick doesn't prescribe something that solves your problem, it's rational to either try another one or stop seeing psychiatrists.
> he said he tried with a couple patients but didn’t see any long term results so didn’t want to put me on it
To me that's a very reasonable take if it's coming from a real psychiatrist, OP doesn't tell us his life story. The trained professional thinks there are better solutions for his patient because he tried the protocol on other patients and saw no long term results. If you read that statement and think "OP should try other psychiatrists" then to me that just sounds like you think ketamine is some kind of miracle drug.
As with everything else in life YMMV, but if taking drugs to address a specific issue (i.e. non-recreational), then listen to the person that spent +10 years studying to help you.
The internet has put a lot of health and treatment information into the hands of laypeople that did not go into the medical profession. Some of those people are more than capable of making decisions for themselves, but the field of medicine doesn’t seem to account for this yet.