It's probably one of the Universal Joints in the half-shafts, or possibly the drive shaft.
How to remove rear wheel bearings on a 1978 corvette..?
Yes , the Chevy Corvette has always been rear wheel drive
The 2005 Chevrolet Corvette has rear wheel drive.
The 2006 Chevrolet Corvette has rear wheel drive.
The 2009 Chevrolet Corvette has rear wheel drive.
The 2001 Chevrolet Corvette has rear wheel drive.
The 2007 Chevrolet Corvette has rear wheel drive.
The 2008 Chevrolet Corvette has rear wheel drive.
The 2004 Chevrolet Corvette has rear wheel drive.
The 2012 Chevrolet Corvette has rear wheel drive.
The 2003 Chevrolet Corvette has rear wheel drive.
The 2013 Chevrolet Corvette has rear wheel drive.