I called them again Tuesday to get an "extension letter" and the girl (never called me "Sir" this time but sounded like a real person instead of a droid like the last guy) said they sent on Sunday. I asked about the check never clearing and she told me the correct check number and said to check again on 4/27, that they might have run it as an electronic transfer instead of a check. Sho' nuff.
The FFL came in the mail today. And it has a little card in the corner that you can cut off and carry in you wallet (not sure what that's good for)
"The only way to stop a bad guy with a gun is with a good guy with a gun"