Since there is no firearm registration in South Carolina, the gun wouldn't be in anybody's name. It's just a gun.
As for your father having to tell the FFL that the gun is a gift for you, he doesn't have to tell the FFL anything at all. If he can lawfully purchase a gun, and you can lawfully possess a gun, he can buy it and gift it to you without anyone's knowledge or permission. It's nobody elses business.
South Carolina is not California, Illinois, etc.