Yeah, I think you could eat “all you want” of horseradish, or hot sauce.
There are some sugar-free popsicles that are not quite zero calories but close enough. There’s also sugar-free jello.
I do not recommend combining these two categories 
You could try shirataki noodles - “Traditional shirataki noodles have zero net carbohydrates, zero calories, no gluten, and are useful for those on low-carbohydrate diets.”