Continuity should not be tested with the machine on. Machine off, meter on ohms, measure across fuse.
With machine on, meter on volts, measure from one side of fuse ( red) to ground (black).

One way to find the bad coil: Disconnect the gound side ( non yellow) side of each coil. Connect coils one at a time, re-energize machine till you find the one thats energized.

Alternatively, you can measure each coil to ground, and find it if a transistor is shorted . Machine off, meter on ohms.

Also, that 5v filter cap should be replaced, it looks like it's starting to bulge. The are also some ground mods that help these boards. See Vids bulletproofing mods on this forum.

How is a "bad" coil going to cause the fuse to blow? They almost a direct short anyway (3-5ohms) ?
An open coil won't blow a fuse.
A problem on the SDB will blow a fuse, however.