Don't know if this will help but I just got my mother a family doctor near by. So the trick apparently is to just go around your neighborhood (like big enough city area) and see if new clinic pops up. If some new clinic showed up, just pop in and ask if they have family doctor or nurse practitioner that takes patients. (And when I go back to ask if I can transfer myself over the doctor is already not taking. Lol)

My mom was also on the BC wait list for about a year, I think that's not working as intended.