Doesn't matter. There's no connection between the radio and the HVAC except that the wiring bundles for both run back there. It's likely you dislodged the connector when you did you radio. Even more likely if you pulled on the harness any.
Either way, you're going to have to open the dash back up to find the problem. Since it's isolated to the HVAC illumination, start at the connector for the HVAC. There are 3 connectors back there IIRC.
Connector C3 has the illumination circuit for the HVAC:
http://www.gmtruckcentral.com/wiringdiagrams/1996 Chevrolet Tahoe/Fig 2 Heater Circuit.pdf