Quoted from Arcade:When you first turn on the game it will blow the 4 amp fuse
Did you try this with the bad coil leads cut?
Quoted from Arcade:I know that the controlling transistor is probably bad as well, but have no idea what transistor controls this coil.
That depends, if its the upper coil then Q-77 but if its the lower coil its Q-79.
Quoted from Arcade:small board that has a burnt and disconnected diode on it.
This is a snubber relay board for firing high current coils. That is a 150 ohm resistor that is burnt on the relay board. This is for the rescue kick back coil. This maybe why you are burning F2 on the flipper power supply board. There is a single fuse holder under the GI fuse holder for powering these high current solenoids. If you remove this fuse and replace the other fuse and retest you can narrow this down to a board issue or a coil issue.