If there's no relay ... put one in!
Remove the positive wire from the starter solenoid activator (not the big heavy one!). Attach this wire to pin 85 of a normal 4-pin 12V horn relay (it'll handle 30A, more than enough). Pin 86 to ground (body, earth, battery negative). Pin 30 over to the battery and pin 87 to the solenoid where the positive wire came from.
What that does is introduce a relay so that the actual power load going through the ignition switch is miniscule - just enough to trigger the relay. The relay draws power from the battery and activates the solenoid.