All the CC switch does is tell the ECU to (slightly) change its behavior. (apply fuel to maintain speed).
The wires to the switch could be short-circuiting to something else, which is causing the fuse blow.
Places to look are the CC switch itself, and careful inspection of the wiring run down to the ECM connector.
The CC does not use the "clockspring" connection to the moving steering wheel, so that's probably safe.
You would also need to carefully inspect the ECM connector itself ... something electrically conductive may have bridged between two of the pins/wires. A frayed end of one of the CC switch wires could do that.
Here's the wiring diagram for the CC switch-to-ECM connections. The "yes" line is what pertains to a 2006. (the lined-out numbers are pre-2004)
For example: if the "SC switch 12 volt supply" was getting dragged down by one of the
other wires being shorted to ground, that could certainly blow the ECM's fuse.
--dick