Figured I’d close the loop here for some other person who might be googling this in the future. Permit came in on April 30. I submitted my application just before Halloween, I forget when my last reference sent back the reference but it was first week of December. Printed at the end of January. Permit came in yesterday April 30.
A person I know was fingerprinted about 5 weeks after me and got their permit the day before me in the mail. I have to assume they do large batch reviews of a large log of permits at some interval of 1-2 months. My process was six months total almost to the day.
Good luck to anybody who starts the process, the waits a bitch.