I understand the problem. I dreaded the wait for mine, because of an indiscretion way back in my youth as well. Fortunately i fretted for nothing and have my CCW. It looks like you can appeal the decision if you're still within 30 days from the denial. I didn't see anything barring you from re-applying. The particular section is appended below with a website link. It actually looks like a two-step, or two-level, appeal process. First straight to the SLED, then if they uphold, to an Administrative Law Judge.
If i may make one suggestion: educate yourself on everything firearm related you can. The state surely won't do it for you. You need to know your laws, backward and forward. You absolutely must understand when you may use a firearm in defense of property, in self defense, in defense of others, and when you cannot, if you're going to carry. (Varies by state). You need to know the application process and the appeal process. This blog has some good threads about shoot/don't shoot, so does TheFiringLine.com.
It took 10 minutes to find your answer. Here is the language, and below that is the link.
SECTION 23-31-215. Issuance of permits.
(D) Denial of an application may be appealed. The appeal must be in writing and state the basis for the appeal. The appeal must be submitted to the Chief of SLED within thirty days from the date the denial notice is received. The chief shall issue a written decision within ten days from the date the appeal is received. An adverse decision shall specify the reasons for upholding the denial and may be reviewed by the Administrative Law Judge Division pursuant to Article 5, Chapter 23 of Title 1, upon a petition filed by an applicant within thirty days from the date of delivery of the division’s decision.
South Carolina Law Enforcement Division
Good luck!
"Laws that forbid the carrying of arms ... make things worse for the assaulted and better for the assailants ... for an unarmed man may be attacked with greater confidence than an armed man." - Thomas Jefferson