Hi Greenstone,
Sounds to me like you need a new doctor - at least for your fertility issues.
I'm with Asics and Tarns, you can definitely have a period and have not ovulated - because I have (the bloods confirmed). I just recently had a blood test on day 2 (well, it was for a whole list of things) and will go in on day 24 to have another one for progesterone (sp?).
I was the same as Tarns, and used charting to see if I was ovulating - but gave up as could never get a pattern.
I'm still waiting for my diagnosis, but my doctor was great and did a whole bunch of blood tests and then referred me to hospital gyn (with an amazing referral to make them take notice!) when ultrasound showed something abnormal.
I have also just started using preseed - feel like I should try everything! lol. Will let you know how I get on
Good luck and fx you get that bfp soon.