Rap, I don't know why you would make that decision...

B&C does not distinguish between different methods of take, as SCI does. And the requirements are all the same, basically, regardless of which organization you choose:

You need to join that organization, have your animal scored by an official scorer for that organization, and then if your animal meets the minimum score, do the paperwork and pay the fee to enter it.

Safari Club International is your best bet, at this time, for entering your handgun trophies "in the book."