I wish I had a K7000 on the bench right now, I could show you the same exact issue. (actually recreate it and fix it)
I find it's sometimes a tricky combination of adjustments with some game boards.
Cranking on one pot and expecting a total solution won't get it.
You say the Horizontal Hold helps..... get it at it's best point, now adjust the 50/60 pot a little, turn the contrast down a little, etc, etc.
And I always start with the image smaller than full size. An equal 1" or so black border all around.
BTW - the convergence looks off a bit on that tube, or am I not seeing that correctly ?