You don't have to go through the regional office to get your CCW (unless things have changed). When I first got mine, there were no regional offices. I got a packet, followed the instructions, and sent the stuff in. I believe you can still do that. Did you get a packet from the class you took?
When I renewed, I don't recall making an appointment, though I might have. I was also renewing, and the regional office up here in the northeast corner isn't all that busy.
I had my renewal in about two weeks.
"An armed society is a polite society." — Robert A. Heinlein
"After a shooting spree, they always want to take the guns away from the people who didn't do it. I sure as hell wouldn't want to live in a society where the only people allowed guns are the police and the military."
— William S. Burroughs