Logically, 差点没 is not that different from 差点. In fact, you shouldn't think of it as a single word; think of the  as belonging to what follows 差点 and it makes more sense. Still, it can be a little confusing, and is worth a closer look.

Logical Structure

Subj. + 差点 +  + Verb Phrase

Note that the "Verb Phrase" part is a desired result. So this structure is literally saying, "almost didn't [Verb Phrase]."

Also note that because you're using , you don't use  after the verb phrase.

Examples

See also

Sources and further reading

Books

Dictionaries

Websites