Non-fat half and half is absurd since half and half is half cream half whole milk. By definition it contains fat.

I found this definition of non-fat half and half:

"Nonfat half-and-half is actually misleadingly named, as it doesn’t contain any cream. Instead, it’s nonfat milk that’s been treated with corn syrup and thickeners to approximate the taste and texture of regular half-and-half. It has half the calories of regular half-and-half but twice the amount of sodium."

Definitely something to stay away from.