Build Single pole changeover switch from 4066 Single pole, single throw
This will work but with a small modification. The output from the AC amplifier is decoupled via the output capacitor and therefore the voltage reaching the 4066 switch might have a strange dc value on it. The possible solution is to not ac couple but rely on the dc connection to the ac amplifier - there shouldn't be any problem designing the ac amp to have a "centred" dc rail coming from the device so that the 4066 switch is seeing an ac voltage mid-rail of its supplies.

On the most left-hand switch you ought to have a pull-down resistor after the switch and before it feeds to the AC amplifier, probably in the order of 1M ohm.

Any time you use analogue switches in this type of application you have to watch out for the switches inherent leakage currents charging up capacitors and this is always alleviated by dc coupling.