Skip- Shaving the BB face won't change the distance between the axle's bearing points, therefore any BB that has adjustable bearing design (like the Sugino) will have the same amount of cup to axle end length. Only the amount of cup engagement in the shell would change.

Next question is whether the axle is meant to be used with the crank arms. Some arms and axles (Campy) have a slightly less width to their tapering flats. The other kind (most every Asian brand) of cranks arms will pull further up on the smaller axle.

The next step is usually try to figure out how much more axle length will do the job and try to source said longer axle. Andy.