ben-t:
I will try and answer this to the best of my knowledge.
A concealed carry or pistol permit, can be used as an alternative to a NICS/Brady check in a limited number of States.
However, I do not believe this applies to an Inter-State transfer.
I am pretty certain, that the FFL must ship the firearm to another FFL. If the recieving FFL State accepts the CC permit as an alternative to a NICS check, you fill out the 4473 and off you go. Pennsylvania does not accept the CC or pistol permit as a NICS alternative.
Example, I hold a CC permit in Virginia. FFL still has to ship firearm to my FFL in Virginia, who then does a 4473 transfer and the NICS/Virginia State Police check, as Virginia does not accept the permit as an alternative.
Someone may chime in differently, but that is how I read and understand it.
Kind regards,