Some aftermarket solutions exist, but they often involve modifying the car's wiring harness, which is complex and could void your warranty (if applicable) or cause unintended electrical problems. These solutions are not recommended unless you have extensive automotive electrical experience.
In short, the safest and easiest answer is you can't disable the DRLs on a C5 Corvette without potentially damaging the vehicle's electrical system. You'll need to accept them as a feature of the car.