Why not use the standard French word for it "droguerie"? Dépanneur or Couche-tard does have a lot more charm to it though, agreed.
I can think of more unsavory/xenophobic/slang terms for it, but droguerie seems more appropriate.
And on the other end for someone who never been to Québec, "Je vais au dépanneur" sounds like "I'm going to the mechanics (to fix my car)". Very creative.
I'm also curious how a convenience store is called in other francophone areas of the world.
For example https://fr.wikipedia.org/wiki/D%C3%A9panneur says:
Le mot dépanneur peut désigner :
[…]
au Québec, une petite épicerie de proximité ou une supérette.
en Suisse romande, une petite épicerie ouverte les soirs ou les week-ends.
[…]
It points to https://fr.wikipedia.org/wiki/Magasin_de_proximit%C3%A9 and https://fr.wiktionary.org/wiki/d%C3%A9panneur where again one finds mentions to epicerie (and none to droguerie).I find it funny that in France it’s more common to see anglicisms (parking, le weekend) whereas in Quebec more “francized” terms are more common (stationnement, fin de semaine). And then Francois Legault goes and in a speech praising the work of the French language watchdog says “faut faire la job”. Facepalm!
Because Quebec culture is largely about demonizing anglophones and trying to push them out of the province.
But that’s not the reality nor majority of people who want that.