I did the verification thing (again) recently. Admitedly it was via the IAA not the CAA. The whole thing took less than 3 weeks, but then the IAA don't charge for the verification etc. No doubt the processing of the charge will add to the CAA time!
Get it in quick, and you should be ok. You can fax it to the FAA, to avoid postal delays.
When you get the piece of paper from the FAA that you are supposed to take to the FSDO, ring them up to a) make an appointment to see them, and b) to make sure that they have actually received the paper work from Oklahoma.
dp