I can’t confirm whether or not it would fit any back plates meant for other models. However, you could check them against the dimensions. Dimensions are 42 x 127 x 38 mm
The VDB770 has a wall plate option in the ADC-VDBA-WP
Also, I am confused as to the installation. I will use a plug in transformer. What is the advantage of wiring with or without the “power module” in either example you still need a resistor to be wired to it . Where do you buy the resistor?
There is no option regarding the power module. The power module is required for every installation. See instructions below for wiring without a chime.
A resistor of the necessary specs can be obtained from various electronics vendors online. I’ve used mouser in the past. Here are search results for those specs.