I'm not sure you know the history of Chiropractic then. It's not like the history of dentistry or vetinary medicine
If a Chiropractor does not practice Chiropractic (the theory of innate energy forces causes blockages through subluxations), then he/she is not a Chiropractor, but a Physical Therapist.
We have to be careful with that term, teek. In Britain, "Physical therapist" is a catch-all term that might refer to a masseur, an osteopath, or anyone who did..uh..physical therapy.
In America, a "Physical Therapist" is what we in the UK call a "Physiotherapist" - ie a state registered medical professional with recognised qualifications. (And many of whom do use techniques we might consider "woo", such as TENS machines, accupuncture of a sort and ultrasound with the power turned off. Yes, really. There's a lot of Weatherwaxian headology in physiotherapy).
If what is required to treat a particular problem
actually is manipulation, then we need a "physical therapist" (in the general sense) who is experienced in manipulation.
The only person
I could find with that experience had a sign on his door saying "Chiropractor".
So I went to a chiropractor. The history of chiropractic was wholly irrelevant to the situation. If the man with the necessary experience was a barber, then I would have gone to a barber.
If that is the situation described in the OP, then I would be hypocritical if I was to say "on no account go to someone who calls himself a chiropractor". What matters is - does he have the skills you are looking for?
The hard part is identifying the technique required (which we cannot be 100% certain of) and then finding the person able to apply it. That diagnostic stage is critical- particularly in the case of neck manipulation, which we all agree carries risks. It should be as broad as necessary or possible and absolutely
must include qualified doctors. Nobody should have neck manipulation on a whim and any practitioner prepared to do it without xrays and consultation with the doctor and radiologist is a dangerous quack, whatever it says on his door.