One really quick mod you could do to that design to make it "interactive":
Rewire the ground to go to the common of the timer relay.
This means it'll either switch to the NC (when timer is not on) or NO (when timer is on).
The NO then goes to the speaker relays, keeping the logic the same.
BUT- the fun bit- you now hook the arcade LED up to the NC on the timer.
This way, when the sound is off, the LED is illuminated. Once the button is hit, the speakers will turn on and the button will extinguish
Rewire the ground to go to the common of the timer relay.
This means it'll either switch to the NC (when timer is not on) or NO (when timer is on).
The NO then goes to the speaker relays, keeping the logic the same.
BUT- the fun bit- you now hook the arcade LED up to the NC on the timer.
This way, when the sound is off, the LED is illuminated. Once the button is hit, the speakers will turn on and the button will extinguish