PC or CC ?
i feel like the solution to this isn't in the AX8. there is no "CC" function on the AX8, only a PC function in the MIDI page you refer to.
the Control Switcher functions by setting the relays to do what you want when you send that PC number. if you want PC 88 to turn on your Drive channel, then save the Control Switcher that way.
i feel though that the issue is when you are on your Drive channel, the LED of the Control Switcher is Off, and when you are on your Clean channel, the LED is ON. there is a way to set that Relay to REVERSE so the LED is opposite. that's probably what you want to do. then save the Relay how you want when you send PC 88.