Pars fractures can heal if there is healing potential but many of these fractures do not heal in spite of brace treatment. Pain from these fractures can originate from the fractures themselves or from the disc if the disc has been injured (not uncommon).
Unfortunately, I cannot recommend anyone in the Atlanta area (not that there are not good doctors there but I am unaware of who has experience with this disorder and pars repairs).
Donald Corenman, MD, DC is a highly-regarded spine surgeon, considered an expert in the area of neck and back pain. Trained as both a Medical Doctor and Doctor of Chiropractic, Dr. Corenman earned academic appointments as Clinical Assistant Professor and Assistant Professor of Orthopaedic Surgery at the University of Colorado Health Sciences Center, and his research on spine surgery and rehabilitation has resulted in the publication of multiple peer-reviewed articles and two books.