Jericho, I also have a M8200 Narrow with the same issue. I replaced the solenoid about 18 months ago and now it is out again. haven't used the 4WD very much. It will blow the fuse instantly. any luck with repairing yours?O.K. I'll post a picture as soon as I can.
Meanwhile to answer a couple of points:
1. My understanding is that DC coils don't get hot if they don't get the solenoid to shift all the way, but AC coils do.
2. I think I eliminated the question of a diode being involved when I simply energized the coil directly from the battery with a two-lead jumper. I started to get hot right away, just like it does when I energize it hooked up in the normal system.