I think you may have answered your own question. This kind of skill is most likely to be something people pay to fund themselves for as a way out of c.p. I would be very surprised if a l.a came up with the cash.
Sometimes funding for this kind of therapeutic training is/has been available for social workers working in CAMHS or adult mental health, but these days with pots of money for training drying up or being non-existant funding is rarely available.
Hi Rupert, I did my MSc in Systemic Training 2005 -2007. A lot of courses require you to have foundation and intermediate training before doing the MSc. I did the foundation and luckily funding through the NHS was available (although I was working for the LA at the time - I was working with children with additional needs). I know people ont the MSc course at present but are having to fund themselves. The best training ever... What about contacting your local CAMHS lead family therapist, in the meantime it helps to do the prep courses which financially are more managable. Good luck!
It's possible that some of the larger charities would be willing to employ someone based on Social Work qualification and (probably substantial, relevant) post-qualifying experience then fund therapeutic training/qualification once the worker was established with them (probably after at least a year).
My advice would be to look for opportunities to gain more specialist experience (co-working? Asking for particular types of cases if this is a possibility?) and maybe some smaller pieces of relevant training to strengthen your CV, then to look for other jobs where you might be able to do more of this type of work.
That's assuming family therapy is what you really want to do - I wondered how definate that is because you say you want to go somewhere a bit calmer and there are other options.
If you are genuinely interested and motivated in this particular area (as opposed to in need of a change/break) and can get that across well, you will be stronger at interview.