If one of the Aldi's listed is even sort-of near to you, it might be worthwhile for you to make the trek. I moved to NC from NH last year, and I do miss Aldi's! (Not enough to move back,though.) Where I lived, we had Price Chopper, Hannaford, and Market Basket--while I shopped at all three, Market Basket was the best overall. I know that's a MA/NH chain. I never thought Stop and Shop had great bargains--my sister lives in CT, she has one right around the corner.
Both up north and down south, I have always found boneless, skinless chicken breasts for $1.99/lb, pretty consistently. Sometimes b/s thighs are even cheaper. Oddly, ground beef--even the cheap 73% stuff--is generally over $3 a pound. And I don't know if it's regional or market fluctuations, but pork is quite cheap down here--tenderloin for less than $3/lb, Boston butt or other, fattier cuts for less than $2/lb.
Also, you should know that Food Lion and Hannaford are owned by the same parent company. Both tend to have decent specials without jumping through hoops, and the "my essentials" house brands are identical. This helped me a lot when we moved here, as so much was new to me--not just a new state, but the climate and weather are different, plants are different, landscape is different (I miss hills!), new house, new schools, new accents, new local sports (surfing versus skiing)--but I felt at home in Food Lion!