I bought a large jar of honey at Costco, much larger than the small jars of artisanal honey I was buying at my food co-op. I used to store my honey atop the microwave. Never had problems with ants, probably because the artisanal honey was put up in canning jars with tight lids.
The Costco honey came in a cheaper jar that let ants get into the honey, even though the lid was screwed on. They were teeny tiny ants. Thousands of the buggahs!