It's probably quite easy to make a small plunger from scratch, using small tubing or things that can be used as tubes. At QD (shop chain in Lincolnshire) they have a whole range of yellow boxes with assortments of screws, nuts and, yes, SPRINGS! They even do an assorted set of rubber washers, I believe, which could double up as insulators.
In fact, the more I think about this the better I like it, because it would not require any electronics of any kind (except the battery, plunger, wire and buzzer or bell). Dunno quite how to mount a plunger on the letterbox flap, though. It must not provide any resistance to opening the flap, else the postie will leave stuff sticking out.
MM