JackB wrote:. . . I picked my Best Access lock yesterday . . .
Do you not have the control key for this lock? If not, that's a bit odd... and you'll have to repick the lock to control. (Given that the core is out of the shell, I'd try using your finger to put gentle pressure on the control lug, on the side of the core, rather than using a tension wrench... you'll be far more likely to pick it to the control shear that way.)
I've not tried shimming an IC to control... but others here may be able to comment on whether that's doable?