My last 2 sets of BF Goodrich KO's both vibrated at 60 mph. Highly annoying. I now have the 10 ply Falken Wildpeaks. Nice riding tire and good in the winter. They have issues though. Sidewalls are weaker, so if hauling heavy loads the rear end has a wobble that wasn't there with the BFG's. I have also noticed when driving on rutted roads the Falkens follow the ruts where the BFG's went where you pointed them.
Nitto Exo Grapplers will solve your "squishy" issue, especially on a 3/4-1tn. I've got 40K on mine and will replace them Mid-Oct w/the same thing. They haven't had and still don't have even the slightest hint of a wiggle/vibration up through the 96MPH limiter on a truck w/170K Mi on it. That towing stability comes at a cost, the ride is quite stiff.
The Exo Grappler is also the best AT tire I've used on "slippery", that hard-packed snow-ice that we have in much of ND Jan-March. No, they're not as good as a dedicated snow tire on the really slippery stuff, but, they're better than Duratracs, ATKO, ATKO2, Nitto Trail Grappler, and Nitto Terra Grappler all of which I've run on either my previous or my current F250.