What do you mean by your guy is doing 4457 electronically? Doesn't CBP have to physically see the gun?
Of all those things the 4457 is probably the easiest, I can drive to Dulles and get it done any day of the week 24 hours a day.
I can book a flight quickly, the slow down would be permits and letter of invitation etc. from the outfitter.
4457s can be the easiest or most difficult part of the process. I had a time where the 3 closest offices to me wouldn't answer the phone, ever. So I had to drive to all three of them, only to find out they wouldn't come to the door of their office when you knocked either, and the notes posted on the door said "Only seeing people for 4457s by appointment, call this number". Then listed the same numbers they weren't answering anyway.
I found an office that was much easier to work with, although further away. So, now it takes some time getting them done, but the office is reliable for now, which makes it relatively easy other than the time commitment.
