M'nut,
I applaud your interest in getting more first aid, especially tactical TCCC, training. I wish more did.
Unfortunately, imho, opinions about training and preparations vary widely to the point of concern should a serious shooting accident occur.
As a minimum I believe you should always carry an IFAK on your holster belt/chest rig/etc, and prepare a CRK for hunting, ranges, etc.
Any training is better than none, so RC/StJ's Advanced FA is a good start as others mentioned.
Here is what I teach, when requested, over 2 days:
Tacmed - Basic:
•Preparation: planning, training, assembly of an effective Casualty Response Kit
•Pre-mission Medical Threat Assessment/Intelligence
•Triage and Care Under Fire [CUF]
•Wound assessment and hemorrhage control
•Shock recognition and treatment
•C-spine/skeletal injury evaluation, splinting and immobilization
•Tourniquet application techniques
•Airway management
•Treat and manage gun shot wounds
•Treat and manage stab wounds
•Treat and manage blast and burn injuries
•Treat penetrating/sucking chest wounds
•Recognize and treat serious injuries
•Recognize and treat minor injuries
•Hard Cover, Extraction and Evacuation under fire
•Overview of WMD/CBRNE/CS Gas/Less-Lethal, Medic Protection & Field Decontamination.
I'm not in Canada now, but I will be coming home next August for a month of summer holidays, so there is a possibility of providing a course then should there be interest. In the meantime, I recommend you research and put together an IFAK, carry it, do a FA course, look into any other training [Wilderness Medicine, etc] you can, watch online education videos, practice putting on a CAT [combat tourniquet] one handed,... basically input and practice as much as you can as your life, someone you care about or even a fellow range members's life could depend one day on this.
Best of luck.