Two problems related to engine cooling system have been reported for the 1996 Chevrolet Camaro. The most recently reported issues are listed below.
Intake manifold leak 96 chevy Camaro.
I believe a problem "may" exist with Chevrolet cars employing the new five year or 50k miles anti-freeze. From personal experience and those of relatives it appears the flushing and replacement of anti-freeze at the suggested five year or 50k miles point may lead to water pump failure within weeks even though the car has less than 50k miles on the odometer.