A full out phase, earlier than later will bring it closer to the coast and get precipitation back into the Midlands of South Carolina. The UKMET alluded to this scenario (with a late phase) getting precipitation to about KCAE. As the phase occurs, precipitation will blossom more so than a short wave spawning the low on it's own. Therefore, the large precipitation shield will effect more areas inland, even though the low track is not very optimal.
What you want to see is an earlier phase, to allow the low pressure to deepen quicker and get yanked Westward throwing moisture well inland.