Run wire from switch of preexisting noisemaking device into a doorbell button housing. Trick is matching the doorbell. but solenoid switch from hardware store and of course, Wire.
Minor soldering might be required depending on the device you use.
Like this, you could record audio then break out the button switch to an external switch. You might even be able to use the button mechanics in the fake doorbell.
Of course arduino is the easy answer. but i'm hacking devices over here.