Have you looked closely at the tires? They might be beat up after towing over a mile with the brakes on. Might also give clues to any damage you might have caused while running over things. Did the other two TVs have the same pin height as your TV or was the geometry different? Did your TV pick up some mud in the brakes? Have you checked out your driveshaft, maybe a bad u-joint or carrier bearing vibrating under load, or maybe a problem in the rear end or axle bearings. Admittedly I am also struggling with this issue.
TakingThe5th - Chicago, Western Suburbs
'05 Ford F350 Crew 6.0 DRW Bulletproofed. Pullrite Super 5th 18K 2100 hitch.
'13 Keystone Cougar 333MKS, Maxxfan 7500, Progressive EMS-HW50C, Grey Water System.