Update...
I spoke to my mechanic, before I went back for the Road Force balancing session, to make sure that some sort of a mechanical issue wasn't being overlooked.
Last question, first. Center bearing was replaced 6,000 miles ago. Not because of an issue with vibration, but because the bearing itself was 'dry', and was dying a slow, painful death. The U-joints were checked at that time as well, and they were fine.
I was also told by the tire shop that my rear brakes could be suspect, but I re-did those myself (new pads and rotors), just a little over 12,000 miles ago.
The Road Force machine declared all 4 tires were good. The marks that I put on the tires show that two of the tires had been moved to a different "position" on the rim. One had been moved 180 degrees, and the other had been moved 90 degrees. Both tires/wheels that were moved are now on the rear axle.
The one tire that had 4 ounces of weight stacked up on it in one spot, is now down to less than half that. Quite honestly, the idiot who piled all of those weight on (this would be the same idiot who got all [censored] with me on Monday night), should have spun the tire on the rim, and then tried again. That's just a case of sheer laziness.
The other tire that had been shifted had less weight on it as well.
I was able to get it up to 70 for just a few miles, and was able to tell that the vibration at that speed seems to have been significantly reduced.
I hope to take it out this weekend, and drive several miles (at various speeds) on a recently paved highway to really get a good feel for how things are now. That's why I had delayed in posting an update.