The sports massage therapist I see currently works full time in TV, and has got a slot in a local physio centre once a week. Perhaps you could do something similar whilst training.
I'm also doing a similar thing. At the moment I'm work in an office 9-5 but am training in Holistic Stress Management and Clinical Hynotherapy. I also do Reiki. I thought I'd check all the local clinics and hospitals and see if I could get some work experience there, say on a Saturday morning or an evening session, so I can gradully build up experience and client base which will help when looking for full time role. There's got to an overlap between my current mortgage/bill paying job and my new career and I know its going to be hard work juggling the two but it will be worth it.