Finally figured it out guys...
I finally pulled the dash yesterday and was able to determine the problem was on the feed-side of the high-beam switch (i.e. even after pulling the instrument panel, and disconnecting it, my wires were still heating up and the cyclic sound was still there).
Just as I was anticipating pulling the complete dash so I could do a full trace, I saw the culprit.
It was the main feed wire from the headlight switch (white wire) that appeared to the culprit, so that's where I started.
Turns out I had replaced the steering coupler several months ago and remember the problem starting after that. This lead me to think one of the steering columns electrical components went bad, since I didn't drive the truck for a few weeks after the repair. So, here we go again...
I replace the relays; then the turn signal switch; then the wiper switch (if you're pulling the steering wheel...); and then began to get "lost" in the whole process. Lack of time etc, kept me from finishing it, but what really threw me was the fact the clock had stopped working about the same time.
Did the deep-dive yesterday; the white feed-wire from the headlight switch (the one going into the connector on the dimmer switch) had gotten pinched between the bolt and column from when I had previously made the repair. The PAIN here: entirely self-inflicted...
Just thought you guys would like to know, so I'm on my way now to get the inspection done and restore my little heap's "primary" status as daily driver.
Thanks for all the feedback guys. Your participation makes this a fun site for me. Now, stay tuned as I post some of the mods I've done to my truck over the past several months. I guarantee you're gonna like 'em.
Southernman