Small correction: dehydroacetic acid is a preservative so it's actually only ascorbic acid (also known as Vitamin C) that's doing the exfoliation. So if you want products that achieve the same thing then its most likely Vitamin C you should be looking for, and luckily there's plenty of them these days.
I highly recommend checking out Paula's Choice Skin Care
Ingredient Checker for this kind of stuff! You paste in an ingredient list and it will give you tons of useful information. How well an ingredient is regarded, what its function is and so on.
From my limited research it seems as if Vit C shouldn't have an immediately noticeable effect on the skin. Additionally, the product comes in a clear container, so Vit C wouldn't remain stable for long in my product.
That's why I suspected Carbomer as the main exfoliant, since I observe some balling upon contact with the skin.