There isn't much information out there on the latest scanners that run on USB power. One schematic I have seen, not for the BC436HP, shows a 6.2 volt Zener connected across the 5 volt and ground pins of the USB jack. This is a tiny surface mount part, about 1/16" on a side, rated at 200 milliwatts. It wouldn't survive long if 12 volts at an amp or so were connected to the USB power pins.
The Zener would be near the USB jack if it is not blown clean off the board. Once the Zener is gone or open circuited, the 12 volts is free to destroy many of the components on the circuit boards which is what I believe happened. The Zener itself is too small to create any smoke upon failure. Other parts of the circuit did that. Replacing the Zener will not fix the radio. Replacement of one or more boards will be needed.
It would help to understand the failure better if you post the make and model number of the power cord along with the amp rating of its fuse.