All FSDO’s and CMO’s are affected by the shutdown. There are probably no ASI’s on duty. If American Flyers has an ACR option to process the renewal, I would recommend going that route. Some DPE’s “may” be authorized by their POI to renew CFI’s, I think.
Having said all that, OKC Airman Certification office is also shut down. So even if you use IACRA, your application will be “on hold” till the shutdown ends. The temp cert is only good for 120 days. Then, well, Let’s hope the shutdown does not go that long... Only FAA ASI’s can issue an emergency field issuance (extension)....