I am not (as) convinced that this is as simple as proving you were out of the country........
Under Quebec law, there is a concept known as absolute liability. If, for example, my car is parked illegally, its not a defense to say I was outside the country. The car is registered in my name and I am absolutely liable for any infractions.
The OP avoided saying what the offence is? Until we know more details, I (for one) am not of the view that demonstrating one is out of the country is a get out of jail free card.
Moving offences are even worse IMO. In Ontario, the officer is a no show, I walk. Not in la belle province. Proof in PQ is admissable by means of an affadavit.
The bottom line? I need to know more about the offence first before providing an opinion.