According to multiple Silverado owner forums, the most reliable and easiest place for switched power is the passenger-side dashboard fuse box.

This requires a bit more navigation than the fuse box. 3. Ignition Switch Harness

There is often an unused relay socket (upper left) that provides 12V key-on power.

This circuit is often controlled by RAP (Retained Accessory Power), meaning it stays on for 10 minutes or until you open the door after turning off the key. 2. Under-Dash Relay Panel (Above Brake Pedal)

For clean, safe tapping into the fuse box.

Unlike older trucks, the 2003-2006 Silverado/Sierra trucks (GMT800 platform) are heavily controlled by the CAN-bus system, meaning many fuses in the dashboard remain live (constant power) even after you turn off the truck. This can lead to parasitic battery drain and a dead battery!

Use an "Add-a-Circuit" (fuse tap) for a clean install. Note that this is often a 3-pin fuse slot, so you may need a specialized mini add-a-fuse.