Maybe not the most cost-effective solution, but maybe use 4 of these guys:

[Link: russound.com]

along with an inexpensive amp dedicated to the RDL door chime module. Wire the "doorbell amp" to the sense side "AMP B" input of the AB 3.2 and the sonos ZP120 to the "AMP A" input. Adjust sensitivity and delay on each AB 3.2.