Any advice will be welcome on this:

I have an American Classic BB 68X108 That I am planning to use with my old Fat Chance Yo Eddy, and with a FSA Carbon Pro Team Issue ATB. It seems to me that the BB is too short since FSA indicates that a 68X113 should be used. Besides this, I have tested the 68x108 BB with an Afterburner Crakset and the chainrings seem to move side to side when I turn the cranks even tought that the cranks were installed all the way on to the spindle. In addition to this, the chain rubs with front derraileur when in the smallest chainring, and with the stop screw all the way up.

I wonder if I could still use this BB, and use a spacer in between the frame and the BB

thanks