I haven’t looked at the ones in health-food stores; but I just did a search on “mayonnaise without soybean oil or canola oil”; some of them are pretty expensive. Here’s one of the ones that came up, but my husband says that sunflower oil isn’t that great an improvement (I’ll keep looking; eating largely low-carb in our home, we use a lot of mayo in recipes):
-JT.
That is expensive and it’s only 10 oz. My husband would go through that quickly.