Bob
Hopefully problem solved by now however...
when the fuse blows in seconds, you have a better chance of finding the problem: put a load ( 12volt bulb / inspection lamp ) in place of the fuse. Something less than 120W ( like a old headlamp) will keep the current less than the 10amp wiring limit.
I don't know the Kioti fuse type, but you might be able to get some small croc clips onto the fuse holder or perhaps solder wires onto each end of a blown fuse and then connect these wires to the lamp so the lamp filament is now the fuse.
Then instead of blowing the fuse, the lamp will illuminate when that circuit has a short circuit to the frame ie when the fault is present.
Move the cable loom around looking for an increase in lamp intensity.
Remember that there may be other correctly functioning devices present on that fuse circuit so you may see the lamp glow a little normally, but it go bright when the short is present.
Disconnect the solenoid in question to test for its influence.
Heating the solenoid to its normal operation temperature may promote a faulty winding short.
If the fault is mostly intermittant, and the lamp is big enough wattage, the machine will run like this so when it faults and stops, you can systematically pull the solenoid plug / move wiring to find what turns it off.
HTH,
Andrew.