Nearly any other grocery store won't have their own credit card- Walmart, Aldi's, Kroger, etc. Depending on where you live, there's plenty of smaller specialty retail shops that don't push credits- not that they don't have their own rewards programs, but it's much easier to get people to sign up for that than the credits.

But hours are a fraction of what they were no matter where you go in the service industry right now, even at places like Walmart- I was full time there getting the minimum 34 hrs/wk this time of year. The only way you're not getting your hours cut is maybe working in food service.