Success...at least for now!
I stuffed a piece of foam approximately the same width and thickness of the sheath, and approximately 3.5" long, into the sheath as far as I could with a long blunt piece of plastic. The blade rattle is gone.
I don't know how long this solution will last, but thus far it works and no minced pieces of foam have fallen out of the sheath just yet. When I unstrap the knife's handle from the sheath, the blade pops out somewhat as it's pushed out by the foam, but it's not pushed out by an unbearable amount and this will perhaps change with time.
Altogether, this modification was a success in my opinion, though I'm still annoyed with Ka-Bar for not having devised and implemented a solution to the blade rattle issue so I would not have to do so.