"I want to see someone who after 1 treatment will have cured the problem. Is this realistic?"
In short, no that is unrealistic.
Identifying the cause is important, and most of these are likely to be bio-mechanical or idiopathic in nature.
So nerve to get untrapped or cartilage to be stripped away.
Thus no surgical cure as such.
Osteopathy has a reasonable evidence base for back and shoulder pain and is fairly safe.
However you don't seem to be benefiting from this.
I think your best option would be to ask your G.P. for referral to a physiotherapist (or self refer if this is your local protocol).
They will be able to identify any bio-mechanical unbalance and teach you some exercises to strengthen the weak muscles.
Acupuncture and Chiropracty can't really be recommended.
Acupuncture is, as best we can tell, no more than a powerful placebo.
Now this is not necessarily a deal breaker but the data suggests less positive effect than with back pain (where it manages equivalent relief to standard treatment, i.e. not good.
Chiropracty is also associated with a powerful placebo effect but here this must be balanced with evidence of risk, especially with manipulation of areas other than the lower back.