I don't know of any WalMart super centers in this area at all. I wish there was...my mom has one in KY and I love it!
For inexpensive groceries, I like Aldi. You'll have to look online to find one near you. If you are not familiar with Aldi, they sell everything under their own label, but a lot, if not all of it is name brand. I've shopped there for years and never had an issue with anything being "inferior" quality. In fact, I've often gotten compliments on stuff I've made using their food. Like the 25 cent cornbread mix...lots of compliments on that..."these is the best cormbread...just the right amount of sweetness...". I made brownies with their box mix and my husband took them to work...someone actually thought they were homemade and wanted the recipe!!! I have also gotten compliments on their coffee, which I think is Hills bros. or Foldgers under a different name.
The other store I really like is Butera. I know there is one on Lake Street in Roselle, I think, but you might go online to see if there are others closer. They have really great sale prices, especially meat and dairy, and a great produce department. I avoid Dominicks like the plague because they are the most expensive grocery stores around. Hope this helps!