I would suggest that you call OKC-CAMI (405-954-4821) and be sure to mention that you are a "revenue airman." They can give you a general idea but probably will not give you specifics other than telling you "under review."
If you are required to have your medical "in hand" when you start ground school as I suspect it's probably going to be a bit tight.
My Class I special issuance took approximately 90 days from submission of all reports that were required. If the case is not too complicated the hope is that it can get done sooner.
All the best. The wait is the worst part, for sure. The FAA does things at their own pace. Submitting what they want exactly as per their protocol is crucial.