Well it's been over a month and I've never received a letter yet from Social Security although a couple of weeks ago I did miss a call from an 800 number that AI said it might be a call from a Social Security office. I called SSA last week and talked to a lady who couldn't see anything holding up the process and she said they did already have a copy of my citizenship certificate. She suggested I take my drivers license and passport over to the local office and she set me up with an appointment for the next day. It was basically in and out with no wait whatsoever although I wasn't that impressed with the clerk that helped me. He didn't seem to have any idea why I was there and asked if I was applying for citizenship. Luckily I had brought that document and gave it to him as well. He made copies and sent me on my way and so far nothing has changed. I'm a natural worrier so I'm panicking thinking maybe someone is already claiming my benefits. I don't want to be pushy and call back again but on another thread here someone posted that he was still waiting to hear from the same center that's processing my claim and I think it had been 4 months since he applied. In his case it was eventually resolved but I'd rather not wait that long if I don't have to. If I don't hear anything within a couple more weeks, I'll ask on the Reddit Social Security group that seems to have some pretty knowledgeable people in there that might have some advice on how to proceed.
Also when calling SSA and leaving your number for a call back rather than wait on hold for 2 hours, be prepared for all the personal information they will need to verify you. I was pretty uncomfortable with the process and at one point considered hanging up on her it was so invasive.