There's also a Publix out past AKL at the intersection of 192 and 429. I think there's a Target nearby there also.
On a side note, we've used grocery delivery services (Garden Grocer) a few times in the last year and we had great luck with them. We order groceries before our trip and they deliver to the resort and they are waiting on us a Bell Services when we check in. Obviously, there is a charge for the service, but if you don't have a vehicle and are planning to take an Uber/Lyft/Taxi to get groceries the charge for a ride might offset the upcharge for delivery services. We do it all on their site online. It's worth a look.