Are the foward drivetrain universal joints tight? Are the both front axles fully disengaged at the wheel hubs?
The front wheel drive train utilizes 4 universal joints. One at the end of each axle (within the framework of the kingpin) and one at each end of the drive shaft.
Note: actually on a 1 ton truck, the rear end of the drive shaft is coupled to the T/C with a CV joint rather than a u-joint.
If the wheel bearings are okay (they would have to be ready to fall apart to cause the vibration you described) and the steering linkage is reasonably tight, the cause is most likely an extremely worn out u-joint.
I'd drop the rear end of the drive shaft first (easy, four bolts to the T/C output flange).
You can't really do a good inspection with it still bolted up, it has to be dropped.
With it released from the drivetrain, twist it, hit the joints with a hammer, stick a screwdriver into the joint and pry up and down....whatever. You should be able to easily determine whether either joint is shot.
The u-joints at the outboard ends of the axles can be checked in place. Insert a bar or big screwdriver through the openings of the kingpin and, while rotating the axle, pry up and down on the joint if one is bad enough to shake the truck you'll know it right away.
Here's the thing though:
For this vibration to have occurred the front drive train must have been rotating.
It could have been being powered from the T/C as is normal when the 4WD is intentionally engaged or it may be that one of your hubs is not releasing at the wheel hub. In that case the drivetrain would have been being powered backwards from the road wheels.
Check the locking hubs for proper function. With the wheel up, and the hubs set to free, rotate the tire while looking through the opening of the kingpin. The u-joint should not turn as the tire is turning. I would lock and unlock each one a few times to make sure that they are releasing every time.
Check that the T/C is not powering the front driveshaft when 4WD is not selected. This is easy too. While you have the D/S out, and the T/C is in the 2WD position, try to rotate the output flange. It should spin freely. Stroke the shifter linkage through all the positions several times.
4L & 4H - the output flange should not turn.
N & 2H - the flange should spin free.