Tony,

In my experience it is impossible to know what size cartridge BB is needed for the BB adapters. It's a matter of trail and error. Guess at a size, install the BB and crankset and see how it fits. Keep repeating until you hit the sweet spot.

There are just too many variables. Each crankset requires a different size. The adapter adds to the mystery. The SS's frame geometry creates a third variable.

Sorry that I can't be more helpful.