Since it ran after you arc'd the solenoid, we can assume you have power all the way to the ignition switch.
Turning the key to START should apply power to a red wire with a light blue stripe leaving the ignition switch.
That wire goes to the CLUTCH TRIPLE FUNCTION SWITCH. If you have an automatic transmission, there will be a jumper block instead of a switch. According to the manual, this is pretty deep in the dashboard, so it's not a very good test point. Moving on...
From the CLUTCH TRIPLE FUNCTION SWITCH (or jumper), there is a pink wire going to the NEUTRAL SAFETY SWITCH. Now, I guess I don't know if you bypassed it or how that came about. But, it's on the side of the transmission. From that switch, there is another red wire with light blue stripe. This goes to the small post on the solenoid.
So, you could test at the NEUTRAL SAFETY SWITCH on the pink wire. That would prove the IGNITION SWITCH and CLUTCH TRIPLE FUNCTION SWITCH/JUMPER.
Then, you could test outgoing power on the red/light blue stripe wire, to verify that the bypass is ok.
And, in theory, if you have outgoing power on the red/light blue wire, then that wire goes straight to the solenoid.
Or more simply: Get under the vehicle and check out the bypass. Verify power on the pink wire when the key is turned. That proves everything to that point. Maybe clean-up/remake the bypass. Make sure power is going out the red/light blue wire, and that should fix it.
I usually look in for messages every couple of days. Hopefully this is enough to get you going. Otherwise, post back everything you did, measured, and don't skimp on details. If we go further, let me know if it is an auto or manual transmission, it will save me some typing.
Good Luck!
Oh... all the wire colors I gave are for '94 models. They ought to be the same.... I hope!