Nerdy's got it right. Publix is so much easier to figure out, no algebra required to double coupons (I swear with the rules some of the Ingles cashiers make up on the spot it's more like a logarithm or negative exponent or something), they just automatically double right there at the register. AND ... if an item costs under 50c, and you have a B1G1, when the coupon scans you get BOTH free. AND ... they issue their own store coupons, see the publix website for printables, so when there is a MFG Q plus a Publix Q you can use both on the same item, even if it makes the item free. My vote is for Publix even if it takes a little planning.
ISO any vegetarian brands like Boca, Morningstar, Tofurky
Any B1G1 economy brand dog/cat food (all donated to local shelter)
Beneful dog food
Any toothpaste, toothbrush, shave cream, razor
Any seafood item
Any Greek yogurt