If you are male, there is a 99% chance you will be placed under Administrative Processing (AP), regardless of whether you have an exemption card or have completed military service.
Selecting Ankara, Dubai, or Yerevan could be challenging, as you will need to travel to these countries for your interview, and then mail your passport there to have the visa stamped. It’s ultimately your decision, but I believe it will be difficult.
No one can predict the exact processing time, but it typically takes about 6 months. II think that the officer consider your country of birth, but having a Canadian passport could help expedite the AP wait time.