You have two options - do as you have already done and continue to use just the heater portion of the system, or remove the entire inner and outer cases (if you're trying to make more space under the hood) and "cobble up" a heater system by using a 1979 or earlier inner and outer heater system (there was no heater-only setup for any Corvette after 1980, when A/C became standard equipment).
The second (conversion) option gets really ugly, as it requires different holes in the firewall panel, and the control system is completely different from what's installed in your car now. Even with the first option, be careful what vacuum and electrical equipment/wiring you tear out, as the control system is quite complex and is integrated with the rest of the car's wiring. Before you're done, you'll probably wish you had left it alone.