Weird vibration

My money is on a U-joint, It might not be loose but I bet if you take out the driveshaft the joint will be bound up tight.

This reminded me....

Years ago I bought new greasable U-joints for one of the cars. I pulled each cap out of habit to check them & discovered that they did not drill through both crosses. So, any time grease would have been added via the zerc, only two cups would have been greased.