Twin I Beam is the stock 2WD setup....
Twin Traction Beam is the same basic suspension with a drive axle added thus..traction beam....
Hope that helps ya out...
Al
As for the Op, I'd suggest getting it looked at by a competent shop, or friend who knows these trucks and have a thorough examination of all the front suspension. All mounting brackets for cracks, missing rivets, elongated holes, all bushings for wear, because a TTB in a CC LB F350 is damn near at it's max capacity standing still with fuel and passengers on board.
Once you know what's what, you can start to build the plan of rebuild the TTB or drop it out and install a D60 n be done! Less moving parts, less problems with alignment, greater strength and weight capacity, over all simpler design.
Just sayin
Al