So first thing: Disconnect J107 on the power driver board. Power to the solenoids goes through this connector, specifically pin 2, cable is violet/orange. Does the fuse still blow?
Yes: Fault is on the PDB, between the fuse and pin 2 of J107. Should be easy to spot/fix.
No (more likely): Fault is between PDB and control circuit:
Do any of the coils 9-16 (slingshots, trough, bumpers, top divertor (good candidate for a short!), borg kicker) pull in before the fuse blows?
Yes: Disconnect the violet/orange wire at the affected coil BUT KEEP THE LOOP CONNECTED if it daisy chains on. If fuse stays in now let us know which one it is and we take it from there
No: You have a short from violet/orange to ground somewhere. If you can't find it visually identify the first coil on the chain and remove the connection to the next one. Test if fuse still blows, move your way down the line until you have identified the shorted segment. Fix or replace it.