I am Canadian too, and I have been diagnosed with recurrent miscarriage and secondary infertility. I would at the very least ask to see and OB/GYN - which is completely covered by health care. They can do all the tests and work-ups done by a fertility clinic, and even offer fertility drugs and treatments. If you OB/GYN refers you to a fertility clinic, then the initial visit is covered by health care.
I think that you should go and try to get some tests done...blood work, HSG etc. I guess it depends on who you get and their view on when you should be tested etc.
If you want more info, check out this post:
I'm back and how it went
and you can also read my diary which talks about what I have gone through this past year.