I'm struggling to find the documentation on the spec K it sucks cause this particular spec is on like every motorhome made in the last 20 years.
I tore one of these down but its been a couple of years. There is a possible fuse to the control board maybe F1 is number.
You could try to take out the switch panel where the start stop is on the genny it could be hiding behind it.
early models (not spec K) did have this fuse near the switch in plain view.
Option 2 is to start taking out the stuff around the control box as there could be another fuse hiding near it.
Bat+ comes direct to starter solenoid ground is on the outside of the frame where all the wires enter the genbox. that solenoid also has the signal to fire the starter I would trace any smaller wires to see where they lead hopefully to a fuse.
there is a pinout to the J1 P1 connector you could backprobe to verify voltages to the control box.
After that control box could be a possibility just cover all your basis as those are silly expensive. the fact you have already replaced it once indicates a short could be hiding in the wiring somewhere.
Onans are great until they are not and if it wasn't for the fancy switch in the cab i would rip it out and use the space for a portable gen as for the cost of the control box alone you can buy any cheappy genny on the market.