I've never kept a skink, and do not know if they shed, because an infected molt would be my first guess. How sure are you it is a male? I know that in female reptiles, sometimes eggs can be produced and not laid, causing serious problems. It may also be a tumor or an abcess. If the lump is hard to the touch it is more likely a tumor, if it feels soft or squishy it is likely an abcess or cyst. I can imagine it will be difficult to find a vet for reptiles but keep looking. Without being able to put hands on the animal, it's hard to be of any real help!
Good luck!