Unfortunately, you have to go with a process of elimination, and hope you hit the issue sooner rather than later.
Start with disconnecting the camera. If the fuse no longer blows, it is most likely a bad camera - the camera can be replaced. If the fuse still blows, it could be a bad connector. If replacing the connector does not fix the issue, then there is most likely an issue with the wiring itself (probably crimped somewhere?), and finding the issue could be a pain. Having an electrical wiring schema diagram (from Chevy's Service Manual) should help.
Start with disconnecting the camera. If the fuse no longer blows, it is most likely a bad camera - the camera can be replaced. If the fuse still blows, it could be a bad connector. If replacing the connector does not fix the issue, then there is most likely an issue with the wiring itself (probably crimped somewhere?), and finding the issue could be a pain. Having an electrical wiring schema diagram (from Chevy's Service Manual) should help.