Harris Teeter has the same parent company as Kroger, if that helps. A lot of grocery stores are regional. Here in North Carolina, we have Food Lion, which has the same parent company as Hannaford (originally based in Maine), which I shopped at when I lived in the Northeast.
I'm sorry you haven't had good luck with Aldi. I've found that, through the years, they've improved dramatically--I've shopped there for maybe 30 years now. At first, they had crappy produce, only frozen meats, and their canned soups, in particular, I remember being awful. I mostly got basics, like sugar and flour.
These days, they have fresh meats (although a limited selection), fresh produce (wide selection), wonderful cheese, may organic products, and so forth. It may vary by location--my local one seems to get a lot of traffic (it looked pretty picked over yesterday--bare shelves in spots, little in the freezers). That may help with the meat and produce. Also, it's a fairly new store. My husband is hoping for a re-stock soon--it's Oktoberfest time, he's half German, and they have some wonderful German specialties.