So I have a surly LHT. I got the frame used a few years back for cheap and built it up slowly, taking my time to get all the parts that were right. After 2 years of riding I decided to upgrade my drivetrain recently. So when I went to put a new bottom bracket in I noticed the removable cup was really going in rough for the last portion of the threads but not so much to make me think I was going to strip it. But even before putting cranks on, spinning the axle of the bb around I could tell it was not spinning totally straight. I put the cranks on to confirm this and sure enough there was a massive side to side movement, easily seen by looking at the chain rings. Almost as if all the chain rings were bent together. it was visible looking at the non drive crank as well. So I figured the new bb was a dud. I took it out and popped in another bb that I know is good and the same wobble was present. Even sighting down the bb from the non drive side I could see the space between the bb and the inner shell wall was not even all the way around.

So after some research I figured getting my shell refaced and the threads chased would solve the problem. Chasing the threads did help the bb go in but my bike is simply unridable like this.
I am having a difficult time trying to visualize in which way the bb shell would even be out of wack.

the only solution I can think of now is to get one of those threadless bb's like the velo orange grand cru. But will this even be appropriate? The threadless bb uses the faces of the shell, so perhaps this will go smoothly especially after refacing. On the other hand I wonder if its the threads that are misaligned. My understanding of the refacing tool is that it threads in and used the threads as the reference for cutting the face. So if the threads are off will the faces be equally off?

Anyone had experience with this type of thing?