Hm. But in the sentence, "I kept calling all day, but I never did get ahold of her," ahold has nothing to do with holding. The meaning of ahold has moved past its literal meaning of succeeding in grasping something and now just means what it means. Which is why separating it seems so strange to me, like you're trying to insist on its original meaning when it doesn't mean that anymore.
I mean, I'll admit that "I never did reach her" sounds more professional, but if you're going to use the phrase, why not use the word?