How do panniers not work well? Specifically, what problem are you trying to solve with them?
My panniers broke. They were a bad design. For groceries lately, I've been getting them in plastic bags, and then using a clip (below) to attach the bags to the rack. Each handle goes around a beam on the rack, and then the ends get clipped together. Then it hangs down like a pannier would. It's not ideal, but it's working for now.