I think the authors should be able to delete their answers within the grace period allocated for editing without being subject to the daily limits on answer deletions. If I correctly understand the intent behind the daily limit on answer deletions, allowing unlimited deletions within the grace period does not contradict the purpose of the feature.
I ran into a situation today when this feature would have come in handy: after doing some clean-up of my old answers and maxing out on my daily deletion limit, I posted an answer that looked right on the surface, but was hopelessly wrong at its core. I realized that my approach was incorrect only after looking at my answer for a minute or so. It looked workable to others, too, because I got two upvotes within a few minutes. I reached for the delete link, but got the orange "over-the-limit" message. Fortunately, I figured out and posted an alternative that worked, but that's just luck: an ability to delete would have been better.