Sarah, they have the same thing here. Even on an extended benefit plan - one that you would get if you get benefits through a job - they cover up to $500 usually. Which is between 5-6, roughly, and that's a hopeful estimate. I'm really not sure why they bother at all, quite frankly. These are for registered psychologists and private therapists. There are public psychiatrists and counsellors who work through family programs. And the wait lists that accompany them. The system is really not set up for anyone to succeed, regardless of what they are paying into it.
I'm sorry you've had this experience. I would suggest going through a community counsellor. Other than the 10 or so sessions I did while I still actually had a job, it's the only kind of counselling/therapy I've done for 17+ years. In my opinion it's not about the credentials (ie. RCC vs MA, MEd or PhD) so much as it's about the relationship. In fact, I find that the higher up a person is on the food chain, the less I trust them.
My therapist - the one I paid for - was lovely. She suggested to me that if I appealed to disability and got a prescription from my psychiatrist then they might cover the therapy as a necessary expense. But alas, no.
I wish you all the best. Hopefully you can find a beneficial situation for yourself.