Negative ghost-rider...
The distribution box I was suggesting you check the PCM relay in has a connection on the front where it is fed across the engine over the cowl all the way from the starter solenoid on the passenger's side fender via a fusable link.
Sounds like the plastic cover has been removed from this terminal (bolt with ring terminal and nut powering your junction box) the terminal will be exposed. That's constant hot.
The wire mesh on your filter (I'm assuming Donaldson/Tymar style) has contacted that terminal and is completing the circuit to ground through your HOOD!
GET THE PLASTIC SNAP ON COVER BACK ON THAT DISTRIBUTION BOX BEFORE YOU BURN THE TRUCK DOWN!
You were hitting bumps, grounding out the entire distribution box power feed and shutting the PCM down when the voltage dropped below it's lower limit.
It is not uncommon for the black snap on piece to disappear for whatever reason, leaving this main power feed exposed. It snaps on and keeps this terminal covered and safe. Without it, your metal filter overmesh is going to burn the truck down. Luckily it didn't set its own paper on fire. Must be fire retardant.
On Edit:
This is the cover you're likely missing, or it's been pushed to the up position, uncovering the terminal:
Directly behind that plastic cover is a terminal that WILL contact that filter screen that is always hot. No bueno.